Hydrodynamics, Mass and Heat Transfer in Chemical Engineering (Topics in Chemical Engineering)

Hydrodynamics, Mass and Heat Transfer in Chemical Engineering contains a concise and systematic exposition of fundamental problems of hydrodynamics, heat and mass transfer, and physicochemical hydrodynamics, which constitute the theoretical basis of chemical engineering in science. Areas covered include: fluid flows; processes of chemical engineering; mass and heat transfer in plane channels, tubes and fluid films; problems of mass and heat transfer; the motion and mass exchange of power-law and viscoplastic fluids through tubes, channels, and films; and the basic concepts and properties of very specific technological media, namely foam systems. Topics are arranged in increasing order of difficulty, with each section beginning with a brief physical and mathematical statement of the problem considered, followed by final results, usually given for the desired variables in the form of final relationships and tables.

Science & Math

Polyanin, Andrei D.

Kutepov, A.M.

Kazenin, D.A.

Vyazmin, A.V.

Biological Sciences

CRC-Press

Separation of Variables and Exact Solutions to Nonlinear PDEs (Advances in Applied Mathematics)

Separation of Variables and Exact Solutions to Nonlinear PDEs is devoted to describing and applying methods of generalized and functional separation of variables used to find exact solutions of nonlinear partial differential equations (PDEs). It also presents the direct method of symmetry reductions and its more general version. In addition, the authors describe the differential constraint method, which generalizes many other exact methods. 
The presentation involves numerous examples of utilizing the methods to find exact solutions to specific nonlinear equations of mathematical physics. The equations of heat and mass transfer, wave theory, hydrodynamics, nonlinear optics, combustion theory, chemical technology, biology, and other disciplines are studied. 
Particular attention is paid to nonlinear equations of a reasonably general form that depend on one or several arbitrary functions. Such equations are the most difficult to analyze. Their exact solutions are of significant practical interest, as they are suitable to assess the accuracy of various approximate analytical and numerical methods. 
The book contains new material previously unpublished in monographs. It is intended for a broad audience of scientists, engineers, instructors, and students specializing in applied and computational mathematics, theoretical physics, mechanics, control theory, chemical engineering science, and other disciplines. 
Individual sections of the book and examples are suitable for lecture courses on partial differential equations, equations of mathematical physics, and methods of mathematical physics, for delivering special courses and for practical training.

Zhurov, Alexei I.

Mathematics

Chapman and Hall/CRC

<ul> <li>Provides exact solutions</li> <li>Describes numerical methods or numerical solutions, analytical methods, stability/instability issues</li> <li>Focus on partial differential equations</li> </ul>

Delay Ordinary and Partial Differential Equations (Advances in Applied Mathematics)

Sorokin, Vsevolod G.

This reference book describes the exact solutions of the following types of mathematical equations: &#9679; Algebraic and Transcendental Equations &#9679; Ordinary Differential Equations &#9679; Systems of Ordinary Differential Equations &#9679; First-Order Partial Differential Equations &#9679; Linear Equations and Problems of Mathematical Physics &#9679; Nonlinear Equations of Mathematical Physics &#9679; Systems of Partial Differential Equations &#9679; Integral Equations &#9679; Difference and Functional Equations &#9679; Ordinary Functional Differential Equations &#9679; Partial Functional Differential EquationsThe book delves into equations that find practical applications in a wide array of natural and engineering sciences, including the theory of heat and mass transfer, wave theory, hydrodynamics, gas dynamics, combustion theory, elasticity theory, general mechanics, theoretical physics, nonlinear optics, biology, chemical engineering sciences, ecology, and more. Most of these equations are of a reasonably general form and dependent on free parameters or arbitrary functions.The Handbook of Exact Solutions to Mathematical Equations generally has no analogs in world literature and contains a vast amount of new material. The exact solutions given in the book, being rigorous mathematical standards, can be used as test problems to assess the accuracy and verify the adequacy of various numerical and approximate analytical methods for solving mathematical equations, as well as to check and compare the effectiveness of exact analytical methods.

Handbook of Exact Solutions to Mathematical Equations (Advances in Applied Mathematics)

Research

This book contains about 3000 first-order partial differential equations with solutions. New exact solutions to linear and nonlinear equations are included. The text pays special attention to equations of the general form, showing their dependence upon arbitrary functions. At the beginning of each section, basic solution methods for the corresponding types of differential equations are outlined and specific examples are considered. It presents equations and their applications, including differential geometry, nonlinear mechanics, gas dynamics, heat and mass transfer, wave theory and much more. This handbook is an essential reference source for researchers, engineers and students of applied mathematics, mechanics, control theory and the engineering sciences.

Handbook of First-Order Partial Differential Equations (Differential and Integral Equations and Their Applications)

Zaitsev, Valentin F.

Moussiaux, Alain

Integral equations are encountered in various fields of science and in numerous applications, including elasticity, plasticity, heat and mass transfer, oscillation theory, fluid dynamics, filtration theory, electrostatics, electrodynamics, biomechanics, game theory, control, queuing theory, electrical engineering, economics, and medicine. Exact (closed-form) solutions of integral equations play an important role in the proper understanding of qualitative features of many phenomena and processes in various areas of natural science. Equations of physics, chemistry, and biology contain functions or parameters obtained from experiments - hence, they are not strictly fixed. Therefore, it is expedient to choose the structure of these functions for more easily analyzing and solving the equation. As a possible selection criterion, one may adopt the requirement that the model integral equation admit a solution in a closed form. Exact solutions can be used to verify the consistency and estimate errors of various numerical, asymptotic, and approximate methods. The first part of Handbook of Integral Equations: 
<li>Contains more than 2,100 integral equations and their solutions 
</li>
<li>Includes many new exact solutions to linear and nonlinear equations 
</li>
<li>Addresses equations of general form, which depend on arbitrary functions Other equations contain one or more free parameters (the book actually deals with families of integral equations); the reader has the option to fix these parameters. The second part of the book - chapters 7 through 14 - presents exact, approximate analytical, and numerical methods for solving linear and nonlinear integral equations. Apart from the classical methods, the text also describes some new methods. When selecting the material, the authors emphasize practical aspects of the matter, specifically for methods that allow an effective "constructing" of the solution. Each section provides examples of applicatio</li>

Handbook of Integral Equations

Manzhirov, Alexander V.

Exact solutions have always played and still play an important role in properly understanding the qualitative features of many phenomena. The Handbook of Exact Solutions for Ordinary Differential Equations contains a collection of more than 5,000 ordinary differential equations and their solutions. Coverage focuses on two types of equations: those that are of interest to researchers but are difficult to integrate (Abel equations, Emden-Fowler equations, Painlevé equations, etc.), and equations relevant to applications in heat and mass transfer, nonlinear mechanics, hydrodynamics, nonlinear oscillations, combustion, chemical engineering, and other related fields. The authors also pay special attention to equations containing arbitrary functions, and devote other sections to equations contain one or more arbitrary parameters that the reader can fix at will.

Handbook of Exact Solutions for Ordinary Differential Equations

Zaitsev, V. F.

Exact Methods for Nonlinear PDEs (Advances in Applied Mathematics)

See the best price to sell, buy, or rent books by Polyanin, Andrei D.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Polyanin, Andrei D.

See the best price to sell, buy, or rent books by Polyanin, Andrei D.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Hydrodynamics, Mass and Heat Transfer in Chemical Engineering (Topics in Chemical Engineering)

Separation of Variables and Exact Solutions to Nonlinear PDEs (Advances in Applied Mathematics)

Delay Ordinary and Partial Differential Equations (Advances in Applied Mathematics)

Handbook of Exact Solutions to Mathematical Equations (Advances in Applied Mathematics)

Hydrodynamics, Mass and Heat Transfer in Chemical Engineering (Topics in Chemical Engineering)

Handbook of First-Order Partial Differential Equations (Differential and Integral Equations and Their Applications)

Handbook of Integral Equations

Handbook of Exact Solutions for Ordinary Differential Equations

Separation of Variables and Exact Solutions to Nonlinear PDEs (Advances in Applied Mathematics)

Exact Methods for Nonlinear PDEs (Advances in Applied Mathematics)