By William M. Deen
An excellent textual content for graduate point classes in shipping phenomena for chemical engineers, Analysis of delivery Phenomena presents a unified therapy of momentum, warmth, and mass move, emphasizing the options and analytical thoughts that practice to all of those delivery tactics.
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 shipping mechanisms--heat conduction, diffusion of chemical species, and viscous move of momentum--are highlighted. Conservation equations for scalar quantites are derived first more often than not shape, after which used to procure the governing equations for overall mass, strength, and chemical species. The scaling and order-of-magnitude techniques that are the most important in modeling also are brought. convinced key tools for fixing the differential equations in shipping difficulties, together with similarity, perturbation, and finite Fourier rework ideas, 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 circulate, approximately unidirectional (lubrication) circulation, creeping circulate, and laminar boundary layer circulate. Forced-convection warmth and mass move in laminar movement, multicomponent power and mass move, unfastened convection, and turbulence also are coated. The appendix summarizes vector and tensor operations and family regarding a variety of coordinate platforms.
according to two decades of training and vast category trying out, Analysis of shipping 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 additionally distinctive in its remedy of scaling and approximation suggestions and its presentation of the finite Fourier rework process for fixing partial differential equations.
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Extra resources for Analysis of Transport Phenomena
Brown. 2 GENERAL FORMS OF CONSERVATION EQUATIONS The equations describing the conservation of scalar quantities are derived in this section using the concept of a contml volume. A control volume is any closed region in space, selected for its usefulness in formulating a desired balance equation. It is a region in which the rate of accumulation of some quantity is equated with the net rate at which that quantity enters by crossing the boundaries and/or is formed by internal sources. The size and shape of a control volume may vary with time, and the control volume boundaries need not correspond to physical interfaces.
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. The interfacial surface (inside the control volume) is denoted by S1 and has a unit normal n1 which points from phase A toward phase B. Accordingly, VA is bounded by SA plus s/7 and VB is bounded by SB plus Sr. The interfacial velocity is denoted by v1 (r, t) and the velocity of any external surface is represented as usual by vs(r, t).
It is not always recognized that because this is a ternary system (A*, A~ B), these quantities differ from the binary diffusivities discussed above. A careful interpretation of such results requires a multicomponent diffusion formulation (see Chapter 11). Representative vaJues of the Schmidt number can be estimated from the data in the tables. L== 1 X 10- 5 Pa·s and p= 1 kg m- 3 , respectively, so that v= 1 x 10-s m2/s. = 1 X 10- 3 Pa·s and p= 1 X 103 kg m- 3, yielding v= 1 x 10- 6 m2/s. With DA8 = 1 X 10- 5 m2/s for gases and 1 X 10- 9 m2/s for liquids, Sc is roughly unity for gases and about 103 for liquids.
Analysis of Transport Phenomena by William M. Deen