Analysis of Transport Phenomena by William M. Deen

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 suggestions and analytical recommendations that follow to all of those shipping tactics.
the 1st few chapters determine the instruments wanted for later analyses whereas additionally protecting 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 normally shape, after which used to acquire the governing equations for overall mass, strength, and chemical species. The scaling and order-of-magnitude options that are an important in modeling also are brought. sure key equipment for fixing the differential equations in delivery difficulties, together with similarity, perturbation, and finite Fourier remodel strategies, 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) circulate, creeping stream, and laminar boundary layer circulation. Forced-convection warmth and mass move in laminar circulate, multicomponent power and mass move, loose convection, and turbulence also are lined. The appendix summarizes vector and tensor operations and kinfolk regarding a number of coordinate platforms.
in accordance with two decades of training and wide type checking out, Analysis of shipping Phenomena deals scholars either huge insurance of the subject and inclusion of recent examples from bioengineering, membrane technology, and fabrics processing. it truly is mathematically self-contained and can be particular in its remedy of scaling and approximation thoughts and its presentation of the finite Fourier rework process for fixing partial differential equations.

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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.

5-11) This model implies that v = a= DAB, so that the Prandtl and Schmidt numbers are simply Pr=Sc= 1. 5-12) To calculate a representative value of DAB from Eq. 0133XlcP Pa, M=30 g mol- 1, and d=3 A=3X10- 10 m. 8 X 10-5 m 2/s. This value of DAB is of the same order of magnitude as most of the gas diffusivities in Table 1-6. The prediction from Eq. 4. Moreover, Eqs. 5-11) correctly predict that k and IL increase with T. and (at low densities) are independent of P. Finally, Eq. 5-10) is correct in that DAB increases with T and varies inversely with P.

Fig. 1-9, which gives diffusivities for selected group III and group V elements in silicon. The original data were correlated using Eq. 602 X 1o- 19 J. Even near the melting point of silicon (1685 K), the diffusivities are extremely small. 4X 10- 15 m 2/s. 6 CONTINUUM APPROXIMATION The constitutive equations for energy, species, and momentum transport are based on the assumption that variables such as temperature, species concentration, and velocity can be regarded as continuous functions of position.

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