By Abram S. Dorfman

ISBN-10: 1119320569

ISBN-13: 9781119320562

ISBN-10: 1119320712

ISBN-13: 9781119320715

ISBN-10: 1119320739

ISBN-13: 9781119320739

Applications of mathematical warmth move and fluid circulation versions in engineering and medicine

Abram S. Dorfman, college of Michigan, USA


Engineering and clinical functions of state of the art warmth and circulate models


This publication offers leading edge effective equipment in fluid circulate and warmth move built and time-honored during the last fifty years. The research is targeted on mathematical versions that are a necessary a part of any study attempt as they exhibit the validity of the implications obtained.

The universality of arithmetic permits attention of engineering and organic difficulties from one standpoint utilizing related types. during this booklet, the present state of affairs of functions of contemporary mathematical types is printed in 3 elements. half I bargains extensive insurance of the functions of up to date conjugate warmth move types in a number of business and technological methods, from aerospace  and nuclear reactors to drying and nutrition processing. partly II the speculation and alertness of 2 lately built versions in fluid circulation are thought of: the same conjugate version for simulation of organic structures, together with flows in human organs, and purposes of the most recent advancements in turbulence simulation by means of direct resolution of Navier-Stokes equations, together with flows round plane. half III proposes basics of laminar and turbulent flows and utilized arithmetic tools. The dialogue is complimented through 365 examples chosen from a listing of 448 mentioned papers, 239 workouts and 136 commentaries.


Key features:

  • Peristaltic flows in general and pathologic human organs.
  • Modeling flows round plane at excessive Reynolds numbers.
  • Special mathematical routines let the reader to accomplish expressions derivation following instructions from the text.
  • Procedure for initial selection among conjugate and customary uncomplicated equipment for specific challenge solutions.
  • Criterions of conjugation, definition of semi-conjugate solutions.


This publication is a perfect reference for graduate and post-graduate scholars and engineers.

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Extra info for Applications of mathematical heat transfer and fluid flow models in engineering and medicine

Example text

Another phenomenon inherently conjugate is the peristaltic flow. This follows from the nature of such motion, which actually exists due to interaction between flexible wall and fluid inside channel. The Greek word peristaltikos means clasping and compressing. The corresponding English word peristalsis stands for fluid motion in a channel with flexible walls when a progressive wave propagating along the walls originates a fluid motion in a wave direction. Although there are engineering devices working on this principle, the idea of such motion was adopted from structure of human organs transporting physiological fluids, like blood vessels, urinary channels, or gastrointestinal tract.

46) B (−1) k! (k − m − 1) ! 40). Here, B(i, j) is beta function, which is specified through combination of gamma functions (Exer. 46) and knowing exponents of some influence function. 24) and others of this type approximate equations. 0056. 44) obtained from exact solution for the limiting case Pr → ∞. 24) is correct (Exer. 38). 43) obtained from exact solution for Pr → 0 (details in [119]). 41) knowing coefficients gk . 46) is transcendental, and due to that could not be solved for exponent C1 or C2 (Exerc.

Analyze the heat transfer coefficient variation along the plate in two cases of flow direction: from heated to unheated edge (first case) and in the opposite line from unheated to heated edge (second case). This simple problem clearly shows the role of interface conditions because: (i) as it follows from exact conjugate solution in two considered cases, the distributions of the heat transfer coefficient along the plate significantly differ due to contrasting interface characteristics, and (ii) according the common approach, the heat transfer coefficient distribution is the same in both cases.

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Applications of mathematical heat transfer and fluid flow models in engineering and medicine by Abram S. Dorfman

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