By William M. Deen
An amazing textual content for graduate point classes in shipping phenomena for chemical engineers, Analysis of delivery Phenomena offers a unified remedy of momentum, warmth, and mass move, emphasizing the thoughts and analytical ideas that practice to all of those shipping methods.
the 1st few chapters identify the instruments wanted for later analyses whereas additionally masking warmth and mass move in desk bound media. The similarities one of the molecular or diffusive delivery mechanisms--heat conduction, diffusion of chemical species, and viscous move of momentum--are highlighted. Conservation equations for scalar quantites are derived first as a rule shape, after which used to acquire the governing equations for overall mass, power, and chemical species. The scaling and order-of-magnitude recommendations that are an important in modeling also are brought. sure key equipment for fixing the differential equations in shipping difficulties, together with similarity, perturbation, and finite Fourier remodel concepts, are defined utilizing conduction and diffusion difficulties as examples.
Following chapters are dedicated to fluid mechanics, starting with primary equations for momentum move after which discussing unidirectional move, approximately unidirectional (lubrication) stream, creeping move, and laminar boundary layer stream. Forced-convection warmth and mass move in laminar movement, multicomponent strength and mass move, unfastened convection, and turbulence also are coated. The appendix summarizes vector and tensor operations and kinfolk related to numerous coordinate platforms.
according to 20 years of training and broad type checking out, Analysis of delivery Phenomena deals scholars either vast insurance of the subject and inclusion of recent examples from bioengineering, membrane technological know-how, and fabrics processing. it truly is mathematically self-contained and is usually special in its remedy of scaling and approximation concepts and its presentation of the finite Fourier rework strategy for fixing partial differential equations.
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Consider the control volume shown in Fig. 2-2, which encloses part of an interface between phases A and B. ) The interface divides the control volume into two regions, with volumes VA and V8 . The corresponding external surfaces, SA and S8 , have Figure 2-2. Control volume enclosing part of an interface between phase A and phase B. \ '- , Ssft) ..... - n, Vs(t) - - T- - - t "a I ,. / Phase B 0 S(t) (I) V(t) f Y S(t) f 0 V(r) f General Forms of Conservation Equations 33 unit outward normals nA and n8 , respectively.
In this chapter we begin by deriving a number of conservation equations which apply to any scalar quantity, including the amounts of mass, energy, and individual chemical species. The general results are then used to obtain the equations governing heat transfer in a pure fluid and mass transfer in a dilute, isothermal mixture. Simple applications of those equations are illustrated using several examples. Anally, both the species conservation equation and the interpretation of the difisivity are reconsidered from a molecular viewpoint.
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