![]() Momentum: □ iv = − + ig □t Energy: □ □t Mass:ĮQUATIONS OF CHANGE (RESTRICTED FORMS) Momentum (for Newtonian fluids with constant i and 4): ( ) Dv □v i ≡i + = −∇p + 4∇2 v + ig Dt □t Energy (for Newtonian fluids with constant i and k): ̂ iC p Derivatives □∕□xi appearing in component forms of equations are for Cartesian components only.ĮQUATIONS OF CHANGE IN TERMS OF THE TOTAL FLUXES These equations are valid only for systems in which gravity is the sole external force. NA = aA (nA + nB ) + jA NA = xA (NA + NB ) + J*AĪll fluxes defined above have the same sign convention they are positive when the quantity being transported is moving from the negative side of a surface to the positive side. Total energy flux vector (pure fluids only): ) ( ) ( ̂ + 1 iv2 v + q + w ̂ + 1 iv2 v + q + or e = iH e = iU 2 2 Total mass and molar flux vectors (ordinary diffusion only): nA = iaA v + jA NA = cxA v* + J*A TOTAL (CONVECTIVE + MOLECULAR) FLUX EXPRESSIONS Total momentum flux tensor: d ![]() ![]() 19.3-3 and 24.1-10): q + w = −k∇T + ĭiffusive mass and molar flux vectors (ordinary diffusion only see Eq. = ptij − 4((□vj ∕□xi ) + (□vi ∕□xj ))Ĭonductive heat flux vector + work flux vector (pure fluids only see Eqs. MOLECULAR FLUX EXPRESSIONS Molecular momentum flux tensor (i = constant, Newtonian fluid): = pt − 4(∇v + (∇v)† ) SUMMARY OF FLUX EXPRESSIONS CONVECTIVE FLUX EXPRESSIONS Convective momentum flux tensor: 0Ĭonvective energy flux vector: ( ) ̂ + 1 iv2 v q(c) = iU 2Ĭonvective mass and molar flux vectors: = iaA v j(c) A (c) * JA = cxA v* Devoting more space to mathematical derivations and providing fuller explanations of mathematical developments-including a section of the appendix devoted to mathematical topics-allows students to comprehend transport phenomena concepts at an undergraduate level. The organization of the material is similar to Bird/Stewart/Lightfoot, but presentation has been thoughtfully revised specifically for undergraduate students encountering these concepts for the first time. The text covers topics such as: the transport of momentum the transport of energy and the transport of chemical species. Some of the rigorous topics suitable for the advanced students have been retained. The authors’ goal in writing this book reflects topics covered in an undergraduate course. Lightfoot, and Daniel Klingenberg is a new introductory textbook based on the classic Bird, Stewart, Lightfoot text, Transport Phenomena. ![]() "synopsis" may belong to another edition of this title.Introductory Transport Phenomena by R. In the Revised 2nd Edition the authors have endeavored to correct these errors. A new ISBN has been assigned to the Revised 2nd Edition in order to more easily identify the most correct version.įor Bird's corrigenda, please click here and see Transport Phenomena in the "Books" section. If this is your first look at Transport Phenomena you'll quickly learn that its balanced introduction to the subject of transport phenomena is the foundation of its long-standing success.Ībout the Revised 2nd Edition: Since the appearance of the second edition in 2002, the authors and numerous readers have found a number of errors-some major and some minor. The market leading transport phenomena text has been revised! Authors, Bird, Stewart and Lightfoot have revised Transport Phenomena to include deeper and more extensive coverage of heat transfer, enlarged discussion of dimensional analysis, a new chapter on flow of polymers, systematic discussions of convective momentum, energy, and mass transport, and transport in two-phase systems.
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