1. Develop the control volume difference equation for one-dimensional steady conduction ina fin with variable cross-sectional area A(x) and perimeter P(x). The heat transfercoefficient from the fin to ambient is a constant h0 and the fin tip is adiabatic. See sketchbelow.WallA(x)2. Using your results from Problem 1, find the heat flow at the base of the fin for the followingconditions.k = 34 W/(m K)L= 5 cmA(x) 3.23 x 10-41-Use a grid spacing of 0.5 cm.1- sinh (2)P(x) = [A(x)]/2To 110W/(m²K)T₁ = 93°CToo = 27°Cm²

Problem 1: Control Volume Equation for One-Dimensional Steady Conduction in a Fin with Variable…

Answered: 1. Develop the control volume…

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 4.57P

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Problem 4 A cork board (k = 0.039W/m K) 3 cm thick is exposed to air with an average temperature T.. = 30°C with a convection heat transfer coefficient, h = 25 W/m².K. The other surface of the board is held at a constant temperature of 15°C. A volumetric heat generation of 5 W/m³ is occurring inside the wall. Assuming one dimensional conduction, write the governing equation and express the boundary conditions for the wall. (solve the equation is not required) Problom
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