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Integral transforms in computational heat and fluid flow

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Published by CRC Press in Boca Raton, Fla .
Written in English


  • Heat -- Transmission -- Mathematics.,
  • Fluid dynamics -- Mathematics.

Book details:

Edition Notes

Includes bibliographical references (p. 303-313) and index.

StatementRenato Machado Cotta.
LC ClassificationsTJ260 .C68 1993
The Physical Object
Pagination340 p. :
Number of Pages340
ID Numbers
Open LibraryOL1405541M
ISBN 100849386659
LC Control Number93013770

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The integral transform method is reviewed as a computational approach in the solution of heat and fluid flow problems. The formal ideas behind this hybrid numerical-analytical technique are briefly indicated and the basic steps in the computational implementation are described. The impact of magnetohydrodynamics and heat transfer on the unsteady flow of Casson fluid in an oscillating cylinder via integral transform: A Caputo–Fabrizio fractional model F. Ali, N. Khan, A. Imtiaz, I. Khan, N. A. Sheikh. The book is an important reference for engineering practitioners, and is extremely useful as a text in courses dealing with computation of fluid flow and heat transfer. ABOUT THE AUTHOR Suhas V. Patankar is a professor in the Department of Mechanical Engineering at the University of Minnesota.   Intended for first-year graduate courses in heat transfer, including topics relevant to aerospace engineering and chemical and nuclear engineering, this hardcover book deals systematically and comprehensively with modern mathematical methods of solving problems in heat conduction and diffusion. Includes illustrative examples and problems, plus helpful appendixes. illustrations. 5/5(2).

  John Wiley & Sons, New York, 10 Cotta, R. M. and Serfaty, R. Integral transform algorithm for parabolic diffusion problems with nonlinear boundary and equation source terms. 7th Conference on Numerical Methods for Thermal Problems, Stanford, CA, July , pp. 11 Serfaty, R. and Cotta, R. M. Integral transform solutions of. The proposed integral transform approach in conjunction with the sign-count method provided reliable and cost-effective simulations of heat and fluid flow of Herschel-Bulkley fluids within concentric annular ducts in laminar regime. The International Journal of Heat and Fluid Flow publishes high impact research that primarily expands upon the interplay between fluid dynamic processes and convective heat transfer through the use of experiments and/or computer simulations, with an emphasis on the physics associated with the problem considered. Papers are welcomed that report the uses of these disciplines to engineering. Hybrid numerical-analytical algorithms, based on the generalized integral transform technique, are developed and reviewed to handle transient two- and three-dimensional heat and fluid flow in cavities filled with a porous material. A general formulation and solution methodology for horizont al and vertical cavities is developed.

  Cotta RM () Integral transforms in computational heat and fluid flow. CRC Press, Boca Raton zbMATH Google Scholar Cotta RM () Benchmark results in computational heat and fluid flow: the integral transform method. Governing Equations of Fluid Flow and Heat Transfer Following fundamental laws can be used to derive governing differential equations that are solved in a Computational Fluid Dynamics (CFD) study [1] conservation of mass conservation of linear momentum (Newton's second law) conservation of energy (First law of thermodynamics).   The convergence behavior of integral transform solution is examined for increasing truncation orders N = 4, 8, 16, 32and64, the instantaneous deflections at dimensionless time t = 11 are shown in Fig. 3 with a combination of dimensionless flow velocity u = , and mass ratio β = , It can be observed that when N ⩾ 16, GITT solutions present a perfect convergence in the plots.   Integral Transforms in Computational Heat and Fluid Flow: Cotta, Renato Machado: Books -