## Analytical and Approximate Methods in Transport Phenomena by Marcio L. de Souza-Santos

By Marcio L. de Souza-Santos

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Extra info for Analytical and Approximate Methods in Transport Phenomena (Mechanical Engineering)

Example text

Beyond that, only numerical models might solve the problem. As a methodology applied to every problem is presented throughout the text, the assumptions are listed and commented. Such a procedure is strongly recommended to everyone trying to model a given situation for several reasons. Some of the reasons include . . . It allows easy consultation to the assumptions made to model a given process. It facilitates the understanding of range and restrictions implicit to the achieved solution. It presents comments that might demonstrate how critical each assumption is.

Fluid continually passes from the internal to the external drum by crossing the permeable wall between them. From there, it passes through another permeable wall and ﬂows to the external environment. These walls may be made of porous ceramic or any other permeable material. One is interested in determining the velocity and pressure proﬁles in the region between the permeable walls. The following are assumed: 1. Steady-state regime. 2. Uniform temperature. 3 Flow between concentric drums. 2007 6:49pm Compositor Name: VBalamugundan 11 Problems 111; One Variable, 1st Order, 1st Kind Boundary Condition 3.

In addition, the rate also depends upon the temperature. For the sake of simplicity, it is assumed that the rate of energy production by the reaction is RQ,reaction ¼ a1 eÀa2 t (1:42) Here ai are constants. If a1 were positive, an exothermic reaction would occur and the contrary for an endothermic reaction. 26), the total rate of energy generation by internal source should be added to the amount received by heat transfers. 1 SOLUTION BY (1:45) rVCp aA (1:46) LAPLACE TRANSFORM Laplace transform is a powerful tool for solving ordinary as well as partial differential equations.