EXAMPLE 1Aspherical container of inner radius rl = 2 m, outer radius r2 = 2.1 m,and thermal conductivity k = 30 W/m - °C is filled with iced water at 0°C.The container is gaining heat by convection from the surrounding air at T= 25°C with a heat transfer coefficient of h = 18 W/m2 · °C. Assumingthe inner surface temperature of the container to be 0°C,the differential equation and the boundary conditions forsteady one-dimensional heat conduction through the containerа) еxpressb) obtain a relation for the variation of temperature in the container bysolving the differential equationc) evaluate the rate of heat gain to the iced water.

Given: r1 = 2m r2 = 2.1 m k = 30 W/moC h = 18 W/m2 oC

Aspherical container of inner radius rl = 2 m, outer radius r2 = 2.1 m, and thermal conductivity k = 30 W/m · °C is filled with iced water at 0°C. The container is gaining heat by convection from the surrounding air at T = 25°C with a heat transfer coefficient of h = 18 W/m2 · °C. Assuming the inner surface temperature of the container to be 0°C, %3D a) express the differential equation and the boundary conditions for steady one-dimensional heat conduction through the container b) obtain a relation for the variation of temperature in the container by solving the differential equation c) evaluate the rate of heat gain to the iced water.

Aspherical container of inner radius rl = 2 m, outer radius r2 = 2.1 m, and thermal conductivity k = 30 W/m · °C is filled with iced water at 0°C. The container is gaining heat by convection from the surrounding air at T = 25°C with a heat transfer coefficient of h = 18 W/m2 · °C. Assuming the inner surface temperature of the container to be 0°C, %3D a) express the differential equation and the boundary conditions for steady one-dimensional heat conduction through the container b) obtain a relation for the variation of temperature in the container by solving the differential equation c) evaluate the rate of heat gain to the iced water.

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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