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1- Consider steady- state conduction for one-dimensional conduction in a plane wall having a thermal conductivity k=50 W/m.K and a thickness L-0.25 m, with no internal heat generation. Determine the heat flux and the unknown quantity (blanks) for each case and sketch the temperature distribution, indicating the direction of heat flux. Case TI(°C) 50 T2(°C) -20 dT/dx(K/m) 1 -30 -10 70 160 40 -80 5 30 200 234n

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Consider steady-state conditions for one-dimensional conduction in a plane wall having a thermal conductivity k = 40 W/m-K and a thickness L = 0.3 m, with no internal heat generation. T1 -T2 L Determine the heat flux, in kW/m?, and the unknown quantity for each case. Case T1(°C) T2(°C) dT/dx(K/m) q (kW/m?) 1 50 -20 -233.333 9333.32 2 -30 -10 66.667 75466.67 3 70 117.85 160 6400 4 63.85 40 -80 3200 5 -30.15 30 200 8000

Consider steady-state conditions for one-dimensional conduction in a plane wall having a thermal conductivity k = 40 W/m-K and a thickness L = 0.3 m, with no internal heat generation. T2 L Determine the heat flux, in kW/m?, and the unknown quantity for each case. T1 (°C) T2(°C) dT/dx(K/m) 9 (kW/m?) Case 1 50 -20 i i 2 -30 -10 i 70 i 160 i 40 -80 i 5 i 30 200 i

Consider steady-state conditions for one-dimensional conduction in a plane wall having a thermal conductivity k = 40 W/m•K and a thickness L = 0.3 m, with no internal heat generation. L Determine the heat flux, in kW/m2, and the unknown quantity for each case. Case T1(°C) T2(°C) dT/dx(K/m) (kW/m²) 1 50 -20 i i 2 -30 -10 i 3 70 i 160 i 4 i 40 -80 i i 30 200 i

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Solve using the methodology : Known, Find, Schematic Diagram, Assumptions, Properties, Analysis and Comments.

Consider steady-state conditions for one-dimensional conduction in a plane wall having a thermal conductivity k = 40 W/m-K and a thickness L = 0.3 m, with no internal heat generation. -T2 L Determine the heat flux, in kW/m², and the unknown quantity for each case. Case T1(°C) T2(°C) dT/dx(K/m) q (kW/m?) 1 50 -20 i i 2 -30 -10 i i 3 70 i 160 i 4 i 40 -80 i 5 i 30 200 i

Consider steady-state conditions for one-dimensional conduction in a plane wall having a thermal conductivity k = 40 W/m-K and a thickness L = 0.4 m, with no internal heat generation. -T2 L Determine the heat flux, in kW/m2, and the unknown quantity for each case. Case T1(°C) T2(°C) dT/dx(K/m) 9% (kW/m²) 1 50 -20 i i -30 -10 i i 3 70 i 160 i 4 i 40 -80 i i 30 200 i LO

Consider a copper plate that has dimensions of 3 cm x 3 cm x 7 cm (length, width, and thickness, respectively). As shown in the following figure, the copper plate is exposed to a thermal energy source that puts out 126 J every second. The density of copper is 8,900 kg/m³. Assume there is no heat loss to the surrounding block. 126 J Copper Insulation Ⓡ What is the specific heat of copper (in J/(kg K))? J/(kg. K) What is the mass of the copper plate (in kg)? kg How much energy (in J) will be consumed during 11 seconds? J Determine the temperature rise (in K) in the plate after 11 seconds.

Heat transfer

b) Consider steady-state conditions for one-dimensional conduction in a plane wall having a thermal conductivity k = 50 W/mk and a thickness L = 0.25 m, with no internal heat generation. Determine i) the heat flux and the unknown quantity for each case; and ii) sketch the temperature distribution, indicating the direction of the heat flux. Ti(°C) 50 T2(°C) -20 dT/dx (K/m) ġ(W/m?) Case 1 70 160 3 40 -80

Conduction Heat Transfer X material (a) material (b) . both (a) and (b) have the same thermal conductivity the temperature distribution is independent of thermal conductivity it's not that simple 9. Fin efficiency is defined as: • tanh (mL) (hP/k Ac)1/2 (heat transfer with fin) / (heat transfer without fin) (actual heat transfer through fin) / (heat transfer assuming all fin is at T = Tb) (Tx=L-Tf)/(Tb-Tf) 10. For an infinite fin, the temperature distribution is given by: (T-Tf)/(Tb-Tf)= e-mx. The heat flow through the fin is therefore given by: k (Tb-Tf)/L ● zero, because the fin is infinite ● infinite because the fin is infinite ● (Tb-Tf) (hP/k Ac)1/2 ● (Tb – Tf) (h P / k Ac)1/2 tanh (mL) 11. The Biot number, Bi, is defined as: • Bi=hk/L • Bi=hL/k • Bi= k/LH • Bi=qL/k • Bi=p UL/k 12. For a plate of length L, thickness, t, and width, W, subjected to convection on the two faces of area L x W. What is the correct length scale for use in the Biot number? . L ● W ● t • t/2 • L/2 13. If Bi…

= Consider a large plane wall of thickness L=0.3 m, thermal conductivity k = 2.5 W/m.K, and surface area A = 12 m². The left side of the wall at x=0 is subjected to a net heat flux of ɖo = 700 W/m² while the temperature at that surface is measured to be T₁ = 80°C. Assuming constant thermal conductivity and no heat generation in the wall, (a) express the differential equation and the boundary equations for steady one- dimensional heat conduction through the wall, (b) obtain a relation for the variation of the temperature in the wall by solving the differential equation, and (c) evaluate the temperature of the right surface of the wall at x=L. Ti до L X

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Determine the heat conduction of a boiler if you are given the following data: The thickness of the boiler is 15 cm, the T1 is the temperature of the water is 25°C and the T2 of the steam is 110°C, the thermal conductivity The boiler material is iron (use presentation table), the boiler area is 4.5 m^2

Unit of thermal conductivity in S.I. units is(A) J/m² sec(B) J/m °K sec(C) W/m °K(D) Option B and C above.

A steady-state electric motor operates under 10 Ampere and 220 Volt operating conditions. The output shaft rotates with 100 rpm (rpm) and 16 Nm torque. The heat transfer from the electric motor to the environment is related to the equation of surface temperature Tb, ambient temperature T0 and hA(Tb-T0). The energy transfer is shown on the figure with the help of arrows. (h=100 W/(m2K)), A= 0.195 m2, T0= 293 K) a) Determine the temperature Tb in K (Kelvin). b) Assuming the electric motor as the system, determine the entropy production in kW/K. c) Assume the area of ​​the system boundary as the ambient temperature (T0) and determine the entropy generation in kW/K for the extended system boundaries.

Heat transfer

Classical Mechanics By writing the Fourier heat conduction equation, we can find the meaning of each term in the equation in units. Please explain.25mm in diameter, 30mm in length, the temperatures of both sides respectively T1 = 40.2oC, T2 = 38.9oC, a cylindrical size with a given thermal power amount of 22.4W Find the heat transfer coefficient of the material.

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What happens to heat transfer per unit time in conduction heat transfer as thermal conductivity decreases?

Heat transfer A nuclear reactor can be modelled as the plane wall shown in figure below. The thermal conductivity of the wall is 12 W/m.K. Heat is generated in the plane wall with the rate of 106644 W/m3. Left side of the wall is insulated, and the right side is cooled by air at 90°C. The convection heat transfer coefficient is 0.5 kW/m2.K. What is the maximum temperature in the wall (oC)?

1.29. Determine the thermal conductivity of carbon monoxide gas at 1 atm pressure and 93.7 °C. Ans 0.0299 W/m-K 1 10