Novel Porous Media Formulation for Multiphase Flow Conservation Equations

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  • Novel Porous Media Formulation for Multiphase Flow Conservation Equations
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    • Novel Porous Media Formulation for Multiphase Flow Conservation Equations

    The novel porous media formulation uses the concept of volume porosity, directional surface porosities, distributed resistance, and distributed heat source and sink. Most practical engineering problems involve many complex shapes and sizes of solid internal structures whose distributed resistance is impossible to quantify accurately.

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    The concept of directional surface porosities eliminates the sole reliance on empirical estimation of the distributed resistance of complex-shaped structures often involved in the analysis. The directional surface porosities thus greatly improve the resolution and modeling accuracy and facilitate mock-ups of numerical simulation models of real engineering systems.

    Both the continuum and conventional porous media formulations are subsets of the novel porous media formulation. Moreover, fluid-structure interactions are explicitly accounted for in this formulation"-- Contents Machine generated contents note: Phasic conservation equations and interfacial balance equations; 4. Local-volume-averaged conservation equations and interfacial balance equations; 5.

    Time averaging of local-volume-averaged conservation equations or time-volume-averaged conservation equations and interfacial balance equations; 6. Time averaging in relation to local volume averaging and time-volume averaging versus volume-time averaging; 7. COMMIX code capable of computing detailed micro-flow fields with fine computational mesh and high-order differencing scheme; 8.

    Discussion and concluding remarks. Includes bibliographical references and index.

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    A large list of 66 papers and books is included at the end of the book. Please provide a name for this query: Separate different tags with a comma. The New Surveys in the Classics are a series of short books dedicated to key themes and concepts in the classical…. Animal Health Research Reviews Animal Health Research Reviews provides an international forum for the publication of reviews and commentaries on…. The directional surface porosities are defined as a fraction of free flow surface area to control surface area in three principal directions which are readily calculable quantities.

    View online Borrow Buy Freely available Show 0 more links With access conditions St. Paperback , eBook Looking for an examination copy? Written by renowned expert William T. Sha Introduces the novel porous media formulation for multiphase flow conservation equations Represents a new, flexible, and unified approach to solving real-world engineering problems. Log in to review. How do you rate this item? Reviews must contain at least 12 words about the product. Table of Contents 1.

    Novel Porous Media Formulation for Multiphase Flow Conservation Equations

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    Sign In Please sign in to access your account Email Address. Password Forgotten your password? Remain logged in to website. Please note that this file is password protected. You will be asked to input your password on the next screen. The present study is an attempt to achieve this goal by applying time averaging after local volume averaging. Local volume averaging of conservation equations of mass, momentum, and energy for a multiphase system yields equations in terms of local volume-averaged products of density, velocity, energy, stresses, and field forces, together with interface transfer integrals.

    These averaging relations are subject to the following length scale restrictions: Solutions of local volume-averaged conservation equations call for expressing these local volume-averaged products in terms of products of averages. Time averaging then reduces the volume-averaged products to products of averages plus terms representing eddy and dispersive diffusivities of mass, Reynolds and dispersive stresses, and eddy and dispersive conductivities of heat, etc.

    These terms arise from both high-frequency fluctuations and local spatial deviations. This procedure of time averaging after local volume averaging leads to a set of differential—integral equations of conservation for multiphase flow. This set of multiphase flow conservation equations is particularly suitable for numerical analysis with staggered grid computational systems. Attention is focused on multiphase flow in a region containing fixed and dispersed heat-generating and absorbing solid structures. The novel porous media formulation employs the concept of volume porosity, directional surface porosities, distributed resistance and distributed heat source and sink which is derived through local volume averaging of conservation of mass, momentum and energy equations.

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    The directional surface porosities are defined as a fraction of free flow surface area to control surface area in three principal directions which are readily calculable quantities.