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International 
OPEN ACCESS Journal 
Of Modern Engineering Research (IJMER) 
| IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 4 | Iss.8| Aug. 2014 | 23| 
Analysis of Temperature loss of Hot Metal during Hot Rolling Process at Steel Plant K. K. Anantha Kirthan1, S. Sathurtha Mourian2, M. Vignesh3, A. Nisanth4 1,2,3,4 Department Of Mechanical Engineering (SW), PSG College of Technology, Coimbatore, India 
I. Introduction 
The semi-finished steel products from the casting operations are further processed to produce finished steel products in a series of shaping and finishing operations in the rolling mills. Rolling mills are either hot or cold processes. Mechanical forces for cold rolling will create much more force and energy needs, while hot rolling happens much faster with less force. However, there are significant energy costs to heat the metal to near eutectic temperatures. Hence, this study is concern with TWO main objectives: 
 To minimize temperature loss of hot metal while it is conveyed from rougher to finishing mill. 
 To decrease the temperature difference of head and tail end of hot metal on entering the finishing train. 
In order to achieve the proposed objective, the following main tasks are included in this study: 
 Calculating the heat loss of the hot metal from the walking beam furnace. 
 Calculating the heat loss of the hot metal (Transfer Bar) travelling between the Reheat furnace and roughing Mill which includes the: 
 Temperature drop due to radioactive heat transfer between the slab and the surrounding environment. 
 Temperature drop due to heat Convection between the slab and air. 
 Calculating the EXPECTED Heat loss from Transfer Bar if the THERMAL SHIELD is placed over the distance between Roughing Mill and finishing mill. 
 Comparing the results and calculating the exact amount of heat gain by introducing this innovative technique. 
II. Heat Transfer Calculation 
Radiation shield and the radiation effect Radiation heat transfer between two surfaces can be reduced greatly by inserting a thin, (low- emissivity) sheet of material between the two surfaces. Such highly reflective thin plates or shells are called radiation shields. The role of the radiation shield is to reduce the rate of radiation heat transfer by placing additional resistances in the path of radiation heat flow. Radiation heat transfer between two large parallel plates of emissivity’s ε1 and ε2 maintained at uniform temperatures T1 and T2: 
Abstract: Hot metal is travelling a long distance (around 126 m) between roughing mill and a Steckel finishing mill during hot rolling process in a steel plant which resulted in heat loss. Since, the metallurgical qualities of finished product are closely related to the accurate control of temperature of the material during the hot rolling process, the heat in the furnaces maintains the slab temperature at high level at the cost of more fossil fuels. Temperature of the work piece influences spread appreciably. Lower the temperature of raw material input, greater is the spread. Similarly, higher the temperature, lesser is the spread. Lesser speed of rolling results in greater spread and vice-versa. Hence, temperature is playing a vital role in hot rolling process. 
Temperature loss of semi finished work pieces between the mill stand is inevitable until it protected from the open atmosphere. If a low-emissivity material (radiation shield) is placed between two surfaces, the radiation heat transfer can be considerably reduced. The shield increases the thermal resistance to radiation heat flow. Because radiation is a major source of heat loss at the temperatures involved (around 1060° C.) Thermal shields may be fixed over the path of the hot strip to reduce heat loss and in particular such heat shields can be employed to reduce the head-to-tail temperature variation along the length of a transfer bar. The result of this study is the development of an effective procedure for computer calculation of processes of hot rolling to optimize its parameters 
Key words: Heat loss, Convection and radiation heat transfer, thermal shield, temperature gain
Analysis of Temperature loss of Hot Metal during Hot R olling P rocess at Steel Plant 
| IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 4 | Iss.8| Aug. 2014 | 24| 
A thin carbon steel sheet with an emissivity of 0.56 is placed between the hot slab and atmosphere that are maintained at uniform temperatures T1 = 1050℃ and T2 = 30℃ and have emissivities ε1 = 0.56 and ε2 = 0.56, respectively. Determine the net rate of radiation heat transfer between the hot slab and atmosphere and compare the result to that without the shield. DATA of the hot metal slab considered for Analysis Size of the hot metal slab = 1.275 m X 60 m Area of the slab = 76.5 m2 Approximate distance travelling by hot metal Transfer bar between roughing mill and a STECKEL finishing mill = 126 m Velocity of the hot metal = 3.5 m/sec Weight of the material = 15,000 kg Mean specific heat = 0.483 kJ/kg°K Temperature of the coming out of Roughing mill =1050°C Ambient temperature =30°C The quantity of heat available with hot slab coming out of roughing Mill (Q) can be found from the formula (Assuming ONE DIMENSIONAL heat flow). Q = m x Cp (t1 – t2) Where Q = Quantity of heat in kJ m = Weight of the material in kg Cp = Mean specific heat, kJ/kg°K t2 = Ambient temperature, °K t1 = Temperature of the slab coming out of the roughing mill °K Hence, The quantity of heat available with hot slab coming out of roughing Mill (Q) = m x Cp (t1 – t2) = 15,000 X 0.483 (1050 – 30) = 73,89,900 kJ 
III. Calculation Of Heat Loss Without Thermal Shield 
Researchers working in the field of hot rolling have classified the heat transfer mechanism involved in the process are as follows: 
1. Temperature drop due to radiation heat transfer between the slab and the surrounding environment. 
2. Temperature drop due to heat convection between the slab and air Heat loss due to radiation heat transfer between the hot metal and the surrounding environment: If a hot object is radiating energy to its cooler surroundings the net radiation heat loss rate can be expressed as q = ε σ (Th4 - Tc4) A where Th = hot body absolute temperature (K) Tc = cold surroundings absolute temperature (K) A = area of the object (m2) The emissivity of steel at 390 oF (199 oC) > ε = 0.64 σ = 5.6703 10-8 (W/m2K4) - The Stefan-Boltzmann Constant In our case to calculate heat loss rate on both sides of hot metal q = 2 X ε σ (Th4 - Tc4) A = 2 X 0.64 X 5.6703 10-8 W/m2K4 X (13234 – 3034) X 76.5 ~ 16964 KW ------------ (a) Heat loss due to heat convection between the hot metal and air; Let us assume the FORCED CONVECTION FOR FLAT PLATE for our case:
Analysis of Temperature loss of Hot Metal during Hot R olling P rocess at Steel Plant 
| IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 4 | Iss.8| Aug. 2014 | 25| 
Flow over flat plate The friction and heat transfer coefficient for a flat plate can be determined by solving the conservation of mass, momentum and energy equations (either approximately or numerically). They can also be measured experimentally. It is found that the Nusselt number can be expressed as: Nu = 퐡퐋 퐊 = C Rem Prn Where C, m and n are constants and L is the length of the flat plate. The properties of the fluid are usually evaluated at the film temperature defined as: Tf = 푻푺 + 푻휶 ퟐ Turbulent flow For isoflux plates, the local Nusselt number for turbulent flow can be found from Nu = 퐡퐋 퐊 = 0.037 X Re4/5 x Pr1/3, 0.6 < Pr > 60, 5 X 105 < Re >107 (The above relationships have been obtained for the case of isothermal surface but could also be used approximately for the case of non‐isothermal surface. In such cases assume the surface temperature be constant at some average value) Reynolds number: Ratio of inertia forces to viscous forces in the fluid Re = 훒 퐋퐕 μ Properties of Air, (1050 + 30)/2 = 540ºC From the HMT Table for Air temperature 540ºC; Density (휌 ) = 0.4352 kg/m3 Specific heat (Cp) = 1.101 kJ/kg ºk Coefficient of viscosity (μ) = 37.37 X 10-6 kg/ms Kinematic viscosity (훝) = 86.38 X 10-6 m2/sec Thermal conductivity (k) = 59.36 X 10-3 W /m ºk Prandtl Number (Pr) = 0.704 Hence, Re = 훒 퐋퐕 μ = 0.432 X 60 X 3.5 37.37 X 10−6 = 2.45 X 106 Flow is TURBULENT, since the Re is > the critical Reynolds number 5 X 105 For isoflux (uniform heat flux) plates, the local Nusselt number for turbulent flow: Nu = 0.037 X Re4/5 x Pr1/3 = 0.0308 X (2.45 X 106)4/5 X (0.704)1/3 = 4258 Nu = 퐡퐋 퐊 = 0.037 X Re4/5 x Pr1/3 ( for cooling) 퐡퐋 퐊 = 4258 h = 4258 X 59.36 X 10−360 = 4.21 W / ºC Therefore the HEAT loss on both sides of Hot metal due to convection: Q con = 2 X h X A (ΔT) = 2 X 4.21 X 76.5 X (1050 – 30) = 657 kW -------------------- (b) For Total Heat Loss from hot metal = (a) + (b) = 16964 + 657 = 17621 kJ/sec.
Analysis of Temperature loss of Hot Metal during Hot R olling P rocess at Steel Plant 
| IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 4 | Iss.8| Aug. 2014 | 26| 
IV. Calculation Of Heat Loss With Thermal Shield 
Specification of Thermal shield: Shape of the shield proposed: Rectangular shield Size of the shield:1.5 m (W) X 2.0 m (L) X0.5 m (H) Area covered under the shield : Length of the transfer bar (60 m) Heat loss due to radiation heat transfer between the hot metal and the surrounding environment: To calculate radiation exchange we must take into account surface areas, surface geometries and position in relation to each other. This is done by the shape factor F12 F12 = Fraction of Radiation leaving surface 1 and interrupted by surface 2 Net exchange of RADIATION between the surfaces of two parallel infinite plates If Emissivity’s are equal 풒 푨 = 흈 (푻ퟏ ퟒ−푻ퟐ ퟒ) ퟏ 휺ퟏ + ퟏ 휺ퟐ −ퟏ Where Stefan Boltzmann’s Constant (σ ) = 5.67 푋10−8 Wsk-4/m2 E푚푖푠푠푖푣푖푡푦 표푓 푆푡푒푒푙 푠푙푎푏 휀1 = 0.56, Temperature T1 = 1050ºC E푚푖푠푠푖푣푖푡푦 표푓 푆푡푒푒푙 푝푙푎푡푒 휀2 = 0.56, Temperature T2 = 930ºC Area of the shield (A) = (1.5 X 62) + (0.5 X 62) + (0.5 X 62)= 155 m2 풒 푨 = 5.67 푋10−8 (13234−12034) 10.56+ 10.56−1 q = 155 X 5.67 푋 10−8 푋 9692 푋 1082.57 = 3314325 Heat loss on both side of Hot metal (q) = 2 X 3314325 = 6628649 watts Radiation heat loss (q) = 6628 K --------- (c) Heat loss due to heat convection between the hot metal and air; Properties of Air, (1050 + 930)/2 = 990ºC From the HMT Table for Air temperature 1000ºC ; Density (훒) = 0.277 kg/m3 Specific heat (Cp) = 1.185 kJ/kg ºk Coefficient of viscosity (μ) = 49.03 X 10-6 kg/ms Kinematic viscosity (훝) = 178.00 X 10-6 m2/sec Thermal conductivity (k) = 80.71 X 10-3 W /m ºk Prandtl Number (Pr) = 0.719 Velocity of Transfer bar = 3.5 m/sec Hence, Re = 훒 퐋퐕 μ = 0.277 X 62 X 3.5 49.03 X 10−6 = 1.225 X 106 Flow is TURBULENT, since the Re is > the critical Reynolds number 5 X 105 For isoflux (uniform heat flux) plates, the local Nusselt number for turbulent flow: Nu = 0.037 X Re4/5 x Pr1/3 = 0.037 X (1.225 X 106)4/5 X (0.719)1/3 = 2463 Nu = 퐡퐋 퐊 = 0.037 X Re4/5 x Pr1/3 ( for cooling) 퐡퐋 퐊 = 2463 h = 2463 푋 80.71 X 10−3 62 = 3.20 W / ºC Therefore the HEAT loss on both sides of Hot metal due to convection:
Analysis of Temperature loss of Hot Metal during Hot R olling P rocess at Steel Plant 
| IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 4 | Iss.8| Aug. 2014 | 27| 
Q con = 2 X h X A (ΔT) = 2 X 3.20 X 155 X (1050 – 930) = 119 kW ------------------------ (d) For Total Heat Loss from hot metal = (c) + (d) = 6628 + 119 = 6747 Kw = 6747 kJ/sec. 
V. Temperature Available In The Transfer Bar Without Thermal Shield 
Time taken by the Head end to reach Steckel mill (Th) = 1263.5 sec = 36 Sec Time taken by the Tail end to reach Steckel mill (Tt) = 53 sec Heat Loss in Transfer Bar Head end = 17621 X 36 sec = 634356 KJ Heat Loss in Transfer Bar Tail = 17621 X 53 sec = 933913 KJ Temperature available in the transfer bar at head end (Q)= m Cp Δ푻 The quantity of heat available with hot slab coming out of roughing Mill (Q) = m x Cp (t1 – t2) = 15,000 X 0.483 (1050 – 30) = 73, 89,900 kJ Hence, 7389900 (-) 634356 = 15,000 X 0.483 (Th – 30), Th = 962 ℃ Temperature available in the transfer bar at tail end (Q) = m C Δ푇 Hence, 7389900 (-) 933913 = 15,000 X 0.483 (Tt – 30), Tt = 921 ℃ 
VI. Temperature Available In The Transfer Bar With Thermal Shield 
Time taken by the Head end to reach Steckel mill (Th) = 1263.5 sec = 36 Sec Time taken by the Tail end to reach Steckel mill (Tt) = 53 sec Heat Loss in Transfer Bar Head end = 6747 X 36 sec = 242892 KJ Heat Loss in Transfer Bar Tail end = 6747 X 53 sec = 357591 KJ Temperature available in the transfer bar at head end is (Q)= m Cp Δ푻 The quantity of heat available with hot slab coming out of roughing Mill (Q) = m x Cp (t1 – t2) = 15,000 X 0.483 (1050 – 30) = 73,89,900 kJ Hence, 7389900 (-) 242892 = 15,000 X 0.483 (Th – 30), Th = 986 ℃ Temperature available in the transfer bar at tail end Hence, 7389900 (-) 357591 = 15,000 X 0.483 (Tt – 30), Tt = 970 ℃
Analysis of Temperature loss of Hot Metal during Hot R olling P rocess at Steel Plant 
| IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 4 | Iss.8| Aug. 2014 | 28| 
VII. Result Abstract 
Heat loss due to Radiation 
Heat loss due to Convection 
Temp of Head End (Thead end) 
Temp of Tail End (Ttail end) 
Temp variation along the Length of Transfer bar 
Transfer Bar without Thermal shield 
16964 KW 
657 KW 
962 ℃ 
921 ℃ 
41 ℃ 
Transfer Bar with Thermal shield 
4860 KW 
119 KW 
986 ℃ 
970 ℃ 
16 ℃ 
Heat / Temp GAIN by placing Thermal shield 
12104 KW 
538 KW 
24 ℃ 
49 ℃ 
25 ℃ 
From the above table, it could be seen that by introducing the Thermal shield 
 The radiation heat transfer from the Transfer bar reduces to one third. 
 The head-to-tail temperature variation along the length of a transfer bar got reduced to about one third. 
VIII. Conclusion 
This study is an attempt to reduce the heat loss taking place during the rolling process in Hot Rolling Mill (HRM) of a Steel Plant. Radiation heat transfer between two surfaces can be reduced greatly by inserting a thin, (low-emissivity) sheet of material between the two surfaces. Hence, it is proposed to cover the transfer roller table between rough & Steckel mill with THERMAL SHIELDS to minimize temperature loss of hot metal while it is conveyed from rougher to finishing mill and to decrease the temperature difference of head and tail end of hot metal on entering the finishing train. Furthermore, this technique has an environment impact such as reduction in fuel cost, reduced energy consumption and less emission in the furnace provided before & after the finishing Steckel mill. REFERENCES [1] S.V. Patankar Numerical Heat Transfer and Fluid Flow, McGraw-Hill, New York [2] S.Sohal Manohar and R.Howell John, Int.J. Heat and Mass Transfer. 8 (1973), [3] W.L.Roberts, Hot Rolling of Steel, Marcel dekker INC., New York, (1983) [4] Cengel, Y.A. and Boles, M.A (2007) Thermodynamics an Engineering Approach, McGraw-Hill, Singapore [5] R.K. Rajput, Heat and Mass transfer, TATA McGraw Hill, New Delhi [6] C.P. Kothandaraman, S.subramanyan Heat and Mass Transfer DATA BOOK, Wiley Eastern Ltd, New Delhi [7] Hot Flat Rolling Mills Division, Germany Steckel Mills Manual (Source -Online)
Analysis of Temperature loss of Hot Metal during Hot R olling P rocess at Steel Plant 
| IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 4 | Iss.8| Aug. 2014 | 29| 
Author 1: Name : ANANTHA KIRTHAN K K Place : Coimbatore Date of birth : 11th may, 1994. Age : 20 Gender : Male Degree : Bachelor of Engineering Field : Mechanical Engineering (SW) Institution : PSG College of Technology City : Coimbatore State : Tamil nadu Country : India E mail : cubicalwisdom99@gmail.com Author 2: Name : SATHURTHA MOURIAN S Place : Coimbatore Date of birth : 22th december, 1994. Age : 20 Gender : Male Degree : Bachelor of Engineering Field : Mechanical Engineering (SW) Institution : PSG College of Technology City : Coimbatore State : Tamil nadu Country : India E mail : mouri.sath93@gmail.com Author 3: Name : VIGNESH M Place : Coimbatore Date of birth : 12th march, 1994. Age : 20 Gender : Male Degree : Bachelor of Engineering Field : Mechanical Engineering (SW) Institution : PSG College of Technology City : Coimbatore State : Tamil nadu Country : India E mail : vigneshthebbm@gmail.com Author 4: Name : NISANTH A Place : Coimbatore Date of birth : 14th september, 1994. Age : 20 Gender : Male Degree : Bachelor of Engineering Field : Mechanical Engineering (SW) Institution : PSG College of Technology City : Coimbatore State : Tamil nadu Country : India E mail : nisanth63@gmail.com

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Analysis of Temperature loss of Hot Metal during Hot Rolling Process at Steel Plant

  • 1. International OPEN ACCESS Journal Of Modern Engineering Research (IJMER) | IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 4 | Iss.8| Aug. 2014 | 23| Analysis of Temperature loss of Hot Metal during Hot Rolling Process at Steel Plant K. K. Anantha Kirthan1, S. Sathurtha Mourian2, M. Vignesh3, A. Nisanth4 1,2,3,4 Department Of Mechanical Engineering (SW), PSG College of Technology, Coimbatore, India I. Introduction The semi-finished steel products from the casting operations are further processed to produce finished steel products in a series of shaping and finishing operations in the rolling mills. Rolling mills are either hot or cold processes. Mechanical forces for cold rolling will create much more force and energy needs, while hot rolling happens much faster with less force. However, there are significant energy costs to heat the metal to near eutectic temperatures. Hence, this study is concern with TWO main objectives:  To minimize temperature loss of hot metal while it is conveyed from rougher to finishing mill.  To decrease the temperature difference of head and tail end of hot metal on entering the finishing train. In order to achieve the proposed objective, the following main tasks are included in this study:  Calculating the heat loss of the hot metal from the walking beam furnace.  Calculating the heat loss of the hot metal (Transfer Bar) travelling between the Reheat furnace and roughing Mill which includes the:  Temperature drop due to radioactive heat transfer between the slab and the surrounding environment.  Temperature drop due to heat Convection between the slab and air.  Calculating the EXPECTED Heat loss from Transfer Bar if the THERMAL SHIELD is placed over the distance between Roughing Mill and finishing mill.  Comparing the results and calculating the exact amount of heat gain by introducing this innovative technique. II. Heat Transfer Calculation Radiation shield and the radiation effect Radiation heat transfer between two surfaces can be reduced greatly by inserting a thin, (low- emissivity) sheet of material between the two surfaces. Such highly reflective thin plates or shells are called radiation shields. The role of the radiation shield is to reduce the rate of radiation heat transfer by placing additional resistances in the path of radiation heat flow. Radiation heat transfer between two large parallel plates of emissivity’s ε1 and ε2 maintained at uniform temperatures T1 and T2: Abstract: Hot metal is travelling a long distance (around 126 m) between roughing mill and a Steckel finishing mill during hot rolling process in a steel plant which resulted in heat loss. Since, the metallurgical qualities of finished product are closely related to the accurate control of temperature of the material during the hot rolling process, the heat in the furnaces maintains the slab temperature at high level at the cost of more fossil fuels. Temperature of the work piece influences spread appreciably. Lower the temperature of raw material input, greater is the spread. Similarly, higher the temperature, lesser is the spread. Lesser speed of rolling results in greater spread and vice-versa. Hence, temperature is playing a vital role in hot rolling process. Temperature loss of semi finished work pieces between the mill stand is inevitable until it protected from the open atmosphere. If a low-emissivity material (radiation shield) is placed between two surfaces, the radiation heat transfer can be considerably reduced. The shield increases the thermal resistance to radiation heat flow. Because radiation is a major source of heat loss at the temperatures involved (around 1060° C.) Thermal shields may be fixed over the path of the hot strip to reduce heat loss and in particular such heat shields can be employed to reduce the head-to-tail temperature variation along the length of a transfer bar. The result of this study is the development of an effective procedure for computer calculation of processes of hot rolling to optimize its parameters Key words: Heat loss, Convection and radiation heat transfer, thermal shield, temperature gain
  • 2. Analysis of Temperature loss of Hot Metal during Hot R olling P rocess at Steel Plant | IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 4 | Iss.8| Aug. 2014 | 24| A thin carbon steel sheet with an emissivity of 0.56 is placed between the hot slab and atmosphere that are maintained at uniform temperatures T1 = 1050℃ and T2 = 30℃ and have emissivities ε1 = 0.56 and ε2 = 0.56, respectively. Determine the net rate of radiation heat transfer between the hot slab and atmosphere and compare the result to that without the shield. DATA of the hot metal slab considered for Analysis Size of the hot metal slab = 1.275 m X 60 m Area of the slab = 76.5 m2 Approximate distance travelling by hot metal Transfer bar between roughing mill and a STECKEL finishing mill = 126 m Velocity of the hot metal = 3.5 m/sec Weight of the material = 15,000 kg Mean specific heat = 0.483 kJ/kg°K Temperature of the coming out of Roughing mill =1050°C Ambient temperature =30°C The quantity of heat available with hot slab coming out of roughing Mill (Q) can be found from the formula (Assuming ONE DIMENSIONAL heat flow). Q = m x Cp (t1 – t2) Where Q = Quantity of heat in kJ m = Weight of the material in kg Cp = Mean specific heat, kJ/kg°K t2 = Ambient temperature, °K t1 = Temperature of the slab coming out of the roughing mill °K Hence, The quantity of heat available with hot slab coming out of roughing Mill (Q) = m x Cp (t1 – t2) = 15,000 X 0.483 (1050 – 30) = 73,89,900 kJ III. Calculation Of Heat Loss Without Thermal Shield Researchers working in the field of hot rolling have classified the heat transfer mechanism involved in the process are as follows: 1. Temperature drop due to radiation heat transfer between the slab and the surrounding environment. 2. Temperature drop due to heat convection between the slab and air Heat loss due to radiation heat transfer between the hot metal and the surrounding environment: If a hot object is radiating energy to its cooler surroundings the net radiation heat loss rate can be expressed as q = ε σ (Th4 - Tc4) A where Th = hot body absolute temperature (K) Tc = cold surroundings absolute temperature (K) A = area of the object (m2) The emissivity of steel at 390 oF (199 oC) > ε = 0.64 σ = 5.6703 10-8 (W/m2K4) - The Stefan-Boltzmann Constant In our case to calculate heat loss rate on both sides of hot metal q = 2 X ε σ (Th4 - Tc4) A = 2 X 0.64 X 5.6703 10-8 W/m2K4 X (13234 – 3034) X 76.5 ~ 16964 KW ------------ (a) Heat loss due to heat convection between the hot metal and air; Let us assume the FORCED CONVECTION FOR FLAT PLATE for our case:
  • 3. Analysis of Temperature loss of Hot Metal during Hot R olling P rocess at Steel Plant | IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 4 | Iss.8| Aug. 2014 | 25| Flow over flat plate The friction and heat transfer coefficient for a flat plate can be determined by solving the conservation of mass, momentum and energy equations (either approximately or numerically). They can also be measured experimentally. It is found that the Nusselt number can be expressed as: Nu = 퐡퐋 퐊 = C Rem Prn Where C, m and n are constants and L is the length of the flat plate. The properties of the fluid are usually evaluated at the film temperature defined as: Tf = 푻푺 + 푻휶 ퟐ Turbulent flow For isoflux plates, the local Nusselt number for turbulent flow can be found from Nu = 퐡퐋 퐊 = 0.037 X Re4/5 x Pr1/3, 0.6 < Pr > 60, 5 X 105 < Re >107 (The above relationships have been obtained for the case of isothermal surface but could also be used approximately for the case of non‐isothermal surface. In such cases assume the surface temperature be constant at some average value) Reynolds number: Ratio of inertia forces to viscous forces in the fluid Re = 훒 퐋퐕 μ Properties of Air, (1050 + 30)/2 = 540ºC From the HMT Table for Air temperature 540ºC; Density (휌 ) = 0.4352 kg/m3 Specific heat (Cp) = 1.101 kJ/kg ºk Coefficient of viscosity (μ) = 37.37 X 10-6 kg/ms Kinematic viscosity (훝) = 86.38 X 10-6 m2/sec Thermal conductivity (k) = 59.36 X 10-3 W /m ºk Prandtl Number (Pr) = 0.704 Hence, Re = 훒 퐋퐕 μ = 0.432 X 60 X 3.5 37.37 X 10−6 = 2.45 X 106 Flow is TURBULENT, since the Re is > the critical Reynolds number 5 X 105 For isoflux (uniform heat flux) plates, the local Nusselt number for turbulent flow: Nu = 0.037 X Re4/5 x Pr1/3 = 0.0308 X (2.45 X 106)4/5 X (0.704)1/3 = 4258 Nu = 퐡퐋 퐊 = 0.037 X Re4/5 x Pr1/3 ( for cooling) 퐡퐋 퐊 = 4258 h = 4258 X 59.36 X 10−360 = 4.21 W / ºC Therefore the HEAT loss on both sides of Hot metal due to convection: Q con = 2 X h X A (ΔT) = 2 X 4.21 X 76.5 X (1050 – 30) = 657 kW -------------------- (b) For Total Heat Loss from hot metal = (a) + (b) = 16964 + 657 = 17621 kJ/sec.
  • 4. Analysis of Temperature loss of Hot Metal during Hot R olling P rocess at Steel Plant | IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 4 | Iss.8| Aug. 2014 | 26| IV. Calculation Of Heat Loss With Thermal Shield Specification of Thermal shield: Shape of the shield proposed: Rectangular shield Size of the shield:1.5 m (W) X 2.0 m (L) X0.5 m (H) Area covered under the shield : Length of the transfer bar (60 m) Heat loss due to radiation heat transfer between the hot metal and the surrounding environment: To calculate radiation exchange we must take into account surface areas, surface geometries and position in relation to each other. This is done by the shape factor F12 F12 = Fraction of Radiation leaving surface 1 and interrupted by surface 2 Net exchange of RADIATION between the surfaces of two parallel infinite plates If Emissivity’s are equal 풒 푨 = 흈 (푻ퟏ ퟒ−푻ퟐ ퟒ) ퟏ 휺ퟏ + ퟏ 휺ퟐ −ퟏ Where Stefan Boltzmann’s Constant (σ ) = 5.67 푋10−8 Wsk-4/m2 E푚푖푠푠푖푣푖푡푦 표푓 푆푡푒푒푙 푠푙푎푏 휀1 = 0.56, Temperature T1 = 1050ºC E푚푖푠푠푖푣푖푡푦 표푓 푆푡푒푒푙 푝푙푎푡푒 휀2 = 0.56, Temperature T2 = 930ºC Area of the shield (A) = (1.5 X 62) + (0.5 X 62) + (0.5 X 62)= 155 m2 풒 푨 = 5.67 푋10−8 (13234−12034) 10.56+ 10.56−1 q = 155 X 5.67 푋 10−8 푋 9692 푋 1082.57 = 3314325 Heat loss on both side of Hot metal (q) = 2 X 3314325 = 6628649 watts Radiation heat loss (q) = 6628 K --------- (c) Heat loss due to heat convection between the hot metal and air; Properties of Air, (1050 + 930)/2 = 990ºC From the HMT Table for Air temperature 1000ºC ; Density (훒) = 0.277 kg/m3 Specific heat (Cp) = 1.185 kJ/kg ºk Coefficient of viscosity (μ) = 49.03 X 10-6 kg/ms Kinematic viscosity (훝) = 178.00 X 10-6 m2/sec Thermal conductivity (k) = 80.71 X 10-3 W /m ºk Prandtl Number (Pr) = 0.719 Velocity of Transfer bar = 3.5 m/sec Hence, Re = 훒 퐋퐕 μ = 0.277 X 62 X 3.5 49.03 X 10−6 = 1.225 X 106 Flow is TURBULENT, since the Re is > the critical Reynolds number 5 X 105 For isoflux (uniform heat flux) plates, the local Nusselt number for turbulent flow: Nu = 0.037 X Re4/5 x Pr1/3 = 0.037 X (1.225 X 106)4/5 X (0.719)1/3 = 2463 Nu = 퐡퐋 퐊 = 0.037 X Re4/5 x Pr1/3 ( for cooling) 퐡퐋 퐊 = 2463 h = 2463 푋 80.71 X 10−3 62 = 3.20 W / ºC Therefore the HEAT loss on both sides of Hot metal due to convection:
  • 5. Analysis of Temperature loss of Hot Metal during Hot R olling P rocess at Steel Plant | IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 4 | Iss.8| Aug. 2014 | 27| Q con = 2 X h X A (ΔT) = 2 X 3.20 X 155 X (1050 – 930) = 119 kW ------------------------ (d) For Total Heat Loss from hot metal = (c) + (d) = 6628 + 119 = 6747 Kw = 6747 kJ/sec. V. Temperature Available In The Transfer Bar Without Thermal Shield Time taken by the Head end to reach Steckel mill (Th) = 1263.5 sec = 36 Sec Time taken by the Tail end to reach Steckel mill (Tt) = 53 sec Heat Loss in Transfer Bar Head end = 17621 X 36 sec = 634356 KJ Heat Loss in Transfer Bar Tail = 17621 X 53 sec = 933913 KJ Temperature available in the transfer bar at head end (Q)= m Cp Δ푻 The quantity of heat available with hot slab coming out of roughing Mill (Q) = m x Cp (t1 – t2) = 15,000 X 0.483 (1050 – 30) = 73, 89,900 kJ Hence, 7389900 (-) 634356 = 15,000 X 0.483 (Th – 30), Th = 962 ℃ Temperature available in the transfer bar at tail end (Q) = m C Δ푇 Hence, 7389900 (-) 933913 = 15,000 X 0.483 (Tt – 30), Tt = 921 ℃ VI. Temperature Available In The Transfer Bar With Thermal Shield Time taken by the Head end to reach Steckel mill (Th) = 1263.5 sec = 36 Sec Time taken by the Tail end to reach Steckel mill (Tt) = 53 sec Heat Loss in Transfer Bar Head end = 6747 X 36 sec = 242892 KJ Heat Loss in Transfer Bar Tail end = 6747 X 53 sec = 357591 KJ Temperature available in the transfer bar at head end is (Q)= m Cp Δ푻 The quantity of heat available with hot slab coming out of roughing Mill (Q) = m x Cp (t1 – t2) = 15,000 X 0.483 (1050 – 30) = 73,89,900 kJ Hence, 7389900 (-) 242892 = 15,000 X 0.483 (Th – 30), Th = 986 ℃ Temperature available in the transfer bar at tail end Hence, 7389900 (-) 357591 = 15,000 X 0.483 (Tt – 30), Tt = 970 ℃
  • 6. Analysis of Temperature loss of Hot Metal during Hot R olling P rocess at Steel Plant | IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 4 | Iss.8| Aug. 2014 | 28| VII. Result Abstract Heat loss due to Radiation Heat loss due to Convection Temp of Head End (Thead end) Temp of Tail End (Ttail end) Temp variation along the Length of Transfer bar Transfer Bar without Thermal shield 16964 KW 657 KW 962 ℃ 921 ℃ 41 ℃ Transfer Bar with Thermal shield 4860 KW 119 KW 986 ℃ 970 ℃ 16 ℃ Heat / Temp GAIN by placing Thermal shield 12104 KW 538 KW 24 ℃ 49 ℃ 25 ℃ From the above table, it could be seen that by introducing the Thermal shield  The radiation heat transfer from the Transfer bar reduces to one third.  The head-to-tail temperature variation along the length of a transfer bar got reduced to about one third. VIII. Conclusion This study is an attempt to reduce the heat loss taking place during the rolling process in Hot Rolling Mill (HRM) of a Steel Plant. Radiation heat transfer between two surfaces can be reduced greatly by inserting a thin, (low-emissivity) sheet of material between the two surfaces. Hence, it is proposed to cover the transfer roller table between rough & Steckel mill with THERMAL SHIELDS to minimize temperature loss of hot metal while it is conveyed from rougher to finishing mill and to decrease the temperature difference of head and tail end of hot metal on entering the finishing train. Furthermore, this technique has an environment impact such as reduction in fuel cost, reduced energy consumption and less emission in the furnace provided before & after the finishing Steckel mill. REFERENCES [1] S.V. Patankar Numerical Heat Transfer and Fluid Flow, McGraw-Hill, New York [2] S.Sohal Manohar and R.Howell John, Int.J. Heat and Mass Transfer. 8 (1973), [3] W.L.Roberts, Hot Rolling of Steel, Marcel dekker INC., New York, (1983) [4] Cengel, Y.A. and Boles, M.A (2007) Thermodynamics an Engineering Approach, McGraw-Hill, Singapore [5] R.K. Rajput, Heat and Mass transfer, TATA McGraw Hill, New Delhi [6] C.P. Kothandaraman, S.subramanyan Heat and Mass Transfer DATA BOOK, Wiley Eastern Ltd, New Delhi [7] Hot Flat Rolling Mills Division, Germany Steckel Mills Manual (Source -Online)
  • 7. Analysis of Temperature loss of Hot Metal during Hot R olling P rocess at Steel Plant | IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 4 | Iss.8| Aug. 2014 | 29| Author 1: Name : ANANTHA KIRTHAN K K Place : Coimbatore Date of birth : 11th may, 1994. Age : 20 Gender : Male Degree : Bachelor of Engineering Field : Mechanical Engineering (SW) Institution : PSG College of Technology City : Coimbatore State : Tamil nadu Country : India E mail : cubicalwisdom99@gmail.com Author 2: Name : SATHURTHA MOURIAN S Place : Coimbatore Date of birth : 22th december, 1994. Age : 20 Gender : Male Degree : Bachelor of Engineering Field : Mechanical Engineering (SW) Institution : PSG College of Technology City : Coimbatore State : Tamil nadu Country : India E mail : mouri.sath93@gmail.com Author 3: Name : VIGNESH M Place : Coimbatore Date of birth : 12th march, 1994. Age : 20 Gender : Male Degree : Bachelor of Engineering Field : Mechanical Engineering (SW) Institution : PSG College of Technology City : Coimbatore State : Tamil nadu Country : India E mail : vigneshthebbm@gmail.com Author 4: Name : NISANTH A Place : Coimbatore Date of birth : 14th september, 1994. Age : 20 Gender : Male Degree : Bachelor of Engineering Field : Mechanical Engineering (SW) Institution : PSG College of Technology City : Coimbatore State : Tamil nadu Country : India E mail : nisanth63@gmail.com