Download e-book for kindle: Convective Heat and Mass Transfer in Porous Media by Arthur E. Bergles (auth.), Sadik Kakaç, Birol Kilkiş, Frank

By Arthur E. Bergles (auth.), Sadik Kakaç, Birol Kilkiş, Frank A. Kulacki, Faruk Arinç (eds.)

The swift progress of literature on convective warmth and mass move via porous media has introduced either engineering and basic wisdom to a brand new country of completeness and intensity. also, numerous new questions of primary benefit have arisen in numerous components which undergo direct relation to additional development of uncomplicated wisdom and functions during this box. for instance, the expansion of basic warmth move facts and correlations for engineering use for saturated media has now reached the purpose the place the family members for warmth move coefficients and circulate parameters are recognized good adequate for layout reasons. a number of circulation box regimes in average convection were pointed out in numerous very important enclosure geometries. New questions have arisen at the nature of equations getting used in theoretical experiences, i. e. , the Validity of Darcy assumption is being introduced into query; Wall results in low and high pace stream fields were came across to play a task in predicting shipping coefficients; The formula of shipping difficulties in fractured media are being investigated as either an extension of these in a homogeneous medium and for program in engineering structures in geologic media and difficulties on saturated media are being addressed to figure out their right formula and resolution. The lengthy status challenge of ways to safely formulate and clear up difficulties of multi-phase warmth and mass move in heterogeneous media is necessary within the applied sciences of chemical reactor engineering and stronger oil recovery.

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Extra info for Convective Heat and Mass Transfer in Porous Media

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E within U (e) Expressed in mathematical terms, this balance of E in U takes the form (44) where rE denotes the rate of internal production of E, per unit mass of the phase, and v denotes the unit outward normal on S. Assuming that eVE is differentiable in U, we apply Gauu theorem to the surface integral term in (44), and obtain 26 By shrinking the volume to zero around an arbitrary point within U, we obtain (45) -8e + V·eVE - prE = 0 ' 8t valid for any point in a phase continuum. copic differential balance equation of any ezten,ive quantity, E.

This means that a wetting fluid always coats the entire solid surface. Sometimes, this coating takes the form of a very thin film, with a thickness of some tens of molecules, that adheres to the wall by strong molecular forces and cannot be displaced. Even if initially a pore is not occupied by a wetting fluid, the latter, when invading a pore, will tend to spread on the solid wall by imbibition, gradually displacing the nonwetting fluid. This film behaves practically like a solid in that it can transmit momentum (practically) without changing it.

Ils/. ils/)(5ii - IIWi), (134) where we have introduced the star symbol (*) to emphasize that the components Vt here are in the plane tangential to the solid. J. At any internal point, the transformation Vi = lIiDij holds. We have thus related the velocity components in the close neighborhood of the 81--surface to the latter's configuration. -_____'1- With (134), we can now express the surface integral, lJlIi/as v pearing in (132), in the form ,---'1- alii ~ -{) Sv LlJ. ~ == Uo ~ 1 {)aVi St. dS "'_ ~ 1 Uo St.

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