Can you help me with question 3 show all the steps taken. 1. Assume steady-state, one-dimensional heat conduction through the symmetric shape shown.qxAssuming that there is no internal heat generation, derive an expression for the thermalconductivity k(x) for these conditions: A(x) = (1 - x), T(x) = 300(1 - 2x - x³), and q = 6000 W,where A is in square meters, T in kelvins, and x in meters.Answer: k =20(1-x)(2+3x²)2. At a given instant of time, the temperature distribution within an infinite homogeneous body isgiven by the functionT(x, y, z) = x² - 2y² + z² − xy +2yzAssuming constant properties and no internal heat generation, determine the regions where thetemperature changes with time.Answer: Tat= 03. The temperature distribution across a wall 0.3m thick at a certain instant of time isT(x) = a + bx + cx², where T is in degrees Celsius and x is in meters, a = 200°C, b = -200°C/m,and c = 30°C/m². The wall has a thermal conductivity of 1W/m.K.(a) On a unit surface area basis, determine the rate of heat transfer into and out of the wall and therate of change of energy stored by the wall.(b) If the cold surface is exposed to a fluid at 100°C, what is the convection coefficient?Answer: (a). 18W/m² (b). 4.3W/m²*K

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Answered: 1. Assume steady-state, one-dimensional…

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter4: Numerical Analysis Of Heat Conduction

Section: Chapter Questions

Problem 4.5P

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Assume steady-state, one-dimensional heat conduction through the symmetric shape shown in Figure 1. Assuming that there is no internal heat generation, derive an expression for the thermal conductivity k(x) for these conditions: A(x) = (1 - x), T(x) = 300(1 - 2x - x3), and q = 6000 W, where A is in square meters, T in kelvins, and x in meters. Consider x= 0 and 1.
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