By William M. Deen
An awesome textual content for graduate point classes in shipping phenomena for chemical engineers, Analysis of shipping Phenomena offers a unified remedy of momentum, warmth, and mass move, emphasizing the ideas and analytical strategies that practice to all of those delivery strategies.
the 1st few chapters determine 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 usually shape, after which used to procure the governing equations for overall mass, power, and chemical species. The scaling and order-of-magnitude recommendations that are the most important in modeling also are brought. definite key tools for fixing the differential equations in shipping difficulties, together with similarity, perturbation, and finite Fourier remodel suggestions, 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 movement, approximately unidirectional (lubrication) stream, creeping circulate, and laminar boundary layer move. Forced-convection warmth and mass move in laminar move, multicomponent power and mass move, unfastened convection, and turbulence also are lined. The appendix summarizes vector and tensor operations and family members concerning quite a few coordinate platforms.
according to two decades of training and wide classification trying out, Analysis of shipping Phenomena bargains scholars either huge assurance of the subject and inclusion of recent examples from bioengineering, membrane technology, and fabrics processing. it truly is mathematically self-contained and is additionally distinctive in its remedy of scaling and approximation thoughts and its presentation of the finite Fourier rework technique for fixing partial differential equations.
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Additional info for Analysis of Transport Phenomena
Rotational and vibrational motions can be transmitted through the intermolecular forces, augmenting any transport that occurs through the net displacement (translation) of molecules. Stokes-Einstein Model We now discuss the hydrodynamic model for diffusion of chemica] species in liquids proposed by Einstein in 1906 (see Einstein. 1956). In the derivation which followst a form of Pick's law will be obtained from thennodynamic and mechanical arguments. Consider a very dilute liquid solution, and suppose that the solute molecules are much larger in diameter than the solvent molecules.
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.
Notice that the new term will vanish unless two conditions are present: The interface must be moving, and b must be discontinuous there. As one more extension of the integral conservation equations, we allow for the possibility of a source term at an internal interface. Denoting the rate of formation per unit area of interface as Bs (r, t), the addition of this source term to Eq. 2-7) results in J ~~ dV+ J(bA -b )v ·n dS=- J F·n dS+ JBv dV+ JBs dS.