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1. Figure.1 depicts a plane wall of thickness L = 0.2 m experiences uniform volumetric heating at a rate q. One surface of the wall (x = 0) is insulated, and the other surface is exposed to a fluid at T = 25°C, with convection heat transfer characterized by h = 1200 Initially, the temperature distribution in the wall is T(x, 0) = a + bx², where a = 300 °C, b = -1.0 × 10-4, and x is in meters. W m2.K Suddenly, the volumetric heat generation is deactivated (q=0 for t≥0), while convection heat transfer continues to occur at x = L. The properties of the wall are = 5000 kg/m3, cp=500, and k = 100- kg.K' W m.K ,k,p, cp, q(t≤ 0)

1. Figure.1 depicts a plane wall of thickness L = 0.2 m experiences uniform volumetric heating at a rate q. One surface of the wall (x = 0) is insulated, and the other surface is exposed to a fluid at T = 25°C, with convection heat transfer characterized by h = 1200 Initially, the temperature distribution in the wall is T(x, 0) = a + bx², where a = 300 °C, b = -1.0 × 10-4, and x is in meters. W m2.K Suddenly, the volumetric heat generation is deactivated (q=0 for t≥0), while convection heat transfer continues to occur at x = L. The properties of the wall are = 5000 kg/m3, cp=500, and k = 100- kg.K' W m.K ,k,p, cp, q(t≤ 0)

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Hello, I am a mechanical engineering student and want to upload this question as I have an exam in early June about thermodynamics. I have been given a question that will help me answer my exams in June. Please could you answer showing step by step guidance on how to answer this question with the formula clearly shown. 

 

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1. Figure.1 depicts a plane wall of thickness L = 0.2 m experiences uniform volumetric heating at a rate q. One surface of the wall (x = 0) is insulated, and the other surface is exposed to a fluid at T = 25°C, with convection heat transfer characterized by h = Initially, the temperature distribution in the wall is T(x,0) = a + bx², where a = 300 °C, b = -1.0 × 10-4, and x is in meters. W 1200 m².K Suddenly, the volumetric heat generation is deactivated (à = 0 for t≥ 0), while convection heat transfer continues to occur at x = L. The properties of the wall are = 5000 kg/m3, cp = 500 and k = 100- kg.K' m.K L L k,p, cp,q(t ≤ 0) Too, h 111 Fig.1. A heat transfer of a plane wall (a) Determine the magnitude of the volumetric energy generation rate à associated with the initial condition (t < 0) (b) On 7 -x coordinates, sketch the temperature distribution for the following conditions: initial condition (t < 0), steady-state condition (t → ∞), and two intermediate conditions. (c) On q" - t coordinates, sketch the variation with time of the heat flux at the boundary exposed to the convection process (q" (L, t)). Calculate the corresponding value of the heat flux at t = 0,q" (L, t). (d) Calculate the amount of energy removed from the wall per unit area (J/m2) by the fluid stream as the wall cools from its initial to steady-state condition.
Transcribed Image Text:1. Figure.1 depicts a plane wall of thickness L = 0.2 m experiences uniform volumetric heating at a rate q. One surface of the wall (x = 0) is insulated, and the other surface is exposed to a fluid at T = 25°C, with convection heat transfer characterized by h = Initially, the temperature distribution in the wall is T(x,0) = a + bx², where a = 300 °C, b = -1.0 × 10-4, and x is in meters. W 1200 m².K Suddenly, the volumetric heat generation is deactivated (à = 0 for t≥ 0), while convection heat transfer continues to occur at x = L. The properties of the wall are = 5000 kg/m3, cp = 500 and k = 100- kg.K' m.K L L k,p, cp,q(t ≤ 0) Too, h 111 Fig.1. A heat transfer of a plane wall (a) Determine the magnitude of the volumetric energy generation rate à associated with the initial condition (t < 0) (b) On 7 -x coordinates, sketch the temperature distribution for the following conditions: initial condition (t < 0), steady-state condition (t → ∞), and two intermediate conditions. (c) On q" - t coordinates, sketch the variation with time of the heat flux at the boundary exposed to the convection process (q" (L, t)). Calculate the corresponding value of the heat flux at t = 0,q" (L, t). (d) Calculate the amount of energy removed from the wall per unit area (J/m2) by the fluid stream as the wall cools from its initial to steady-state condition.
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