PROBLEM: IVD-39BOOK: ENGINEERING THERMOFLUIDS, M. MASSOUD 39. Show that the steady state temperature distribution in a cylindrical spine is thesolution to:d²e(x) _ (m? + m? p(x) = 0dx2where m. = (Ph JkA)0³, and m, = (Ph,/kA)05. Use the given data to find the tem-perature distribution at steady state in the above fin. Data: L= 15 cm, D = 1 cm,TB = 350 C, T; = 27 C, k = 50 W/m-C, h. = 15 W/m².C, ɛ= 0.75. The tip of the finis losing energy by both radiation and convection.[Hint: You may solve this problem analytically or numerically. The analyticalsolution follows the method described in Section 8 of Chapter IVa. Since we havelinearized the differential equation by choosing the heat transfer coefficient, asshown in Problem 38, an iterative solution is required regardless of the solutionmethod we choose (h,, therefore, m, are unknowns). The initial guess to estimateh, for thermal radiation is obtained by ignoring thermal radiation (i.e., by settingm, = 0). Upon obtaining the initial guess for temperature, we then include thermalradiation but evaluate h, at the temperature calculated in the previous iteration. Atthe end of each trial, we find:%D%DTk - Tk-1E =where k is the iteration index. The iteration is terminated when ɛ <ɛ, where &, isthe specified convergence criterion].

ns are always required to be used only when the convective heat transfer coefficient h are…

Answered: ROBLEM: IVD-39 BOOK: ENGINEERING…

Engineering

Mechanical Engineering

ROBLEM: IVD-39 BOOK: ENGINEERING THERMOFLUIDS, M. MASSOUD

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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