The boundary layer equations for plane, incompressible, and steady flow are 

$$\matrix{ {u{{\partial u} \over {\partial x}} + v{{\partial u} \over {\partial y}} = - {1 \over \varrho }{{\partial p} \over {\partial x}} + v{{{\partial ^2}u} \over {\partial {y^2}}},} \cr {0 = {{\partial p} \over {\partial y}},} \cr {{{\partial u} \over {\partial x}} + {{\partial v} \over {\partial y}} = 0.} \cr }$$

Boundary Layer Theory

The flow of homogeneous fluids through porous media: analogies with other physical problems

Respiratory Physiology—the essentials

A review of the composite phase change materials: Fabrication, characterization, mathematical modeling and application to performance enhancement

Entropy Generation Minimization

Pore-level calculations of highly-conductive sphericalvoid-phase foams are performed to facilitate the calibration of a simple one-dimensional extended-surface model for porous heat sinks. Convective heat transfer coefficients are derived from isothermal calculations of several geometric models over a range of flow Reynolds numbers. The extended-surface model considers the stream wise variation of temperature in its derivation and utilizes a modified expression for the fin parameter m. Additional pore-level calculations are then done for cases where the porous blocks are attached to a heated substrate. For these cases, fully conjugate calculations are performed to predict the heat transfer from the substrate. These calculations are compared to predictions obtained from the one-dimensional extended surface model, where it is shown that estimates to within 5% can be made under most conditions considered. It is noted that consideration of conduction effects may further improve the formulation.

/pdf/generation-of-simple-extended-porous-surface-expression-from-xb9dly9ic5.pdf

Generation of simple extended porous surface expression from results of pore-level conjugate heat transfer in spherical-void-phase porous blocks

Simulations were conducted to study the airflow across skids of grapes in a horticultural grape drying chamber for the purpose of balancing the airflow to produce a uniform drying environment. The ...

/pdf/a-computational-study-on-airflow-balancing-in-a-32t1rovvoh.pdf

A computational study on airflow balancing in a horticultural drying chamber

/pdf/radiative-property-characterization-of-spherical-void-phase-1vbe7z0sr4.pdf

Radiative property characterization of spherical void phase graphitic foam with application to solar collection

The parallelization and performance of an implicit, unstructured, time-dependent computational fluid dynamics (CFD) code is described. Parallelization of the code is done within the PETSc framework using a single-program-multiple-data (SPMD) message passing model. The parallel code is shown to scale linearly within the limit of the available number of processors. A dynamic convergence criteria (DCC) is developed to enhance the performance of the code by linking the nonlinear convergence of the code and the solver convergence. The implementation of an appropriate choice of DCC in the code was shown good improvements with the speedups of over four times in terms of wall-clock time.

Benchmarking of a 3D, unstructured, finite volume code for incompressible Navier-Stokes equation on a cluster of distributed-memory computers

Solidification of a wedge casting of magnesium alloy AZ31 in the presence of melt convection is investigated. The formulation used in the in-house code is developed based on the finite-volume method on unstructured grids and utilizes a colocated finite-volume framework. In the discretization of the mass and momentum equations all novelties proposed in [1] are implemented and a source based-energy equation is presented. The volume fraction of solid in the domain and the cooling rates at six different embedded thermocouples are predicted. These results are compared to previous experimental work and against similar results obtained with a widely used commercial software package.

Anthony G. Straatman

Papers

Generation of simple extended porous surface expression from results of pore-level conjugate heat transfer in spherical-void-phase porous blocks

A computational study on airflow balancing in a horticultural drying chamber

Radiative property characterization of spherical void phase graphitic foam with application to solar collection

Benchmarking of a 3D, unstructured, finite volume code for incompressible Navier-Stokes equation on a cluster of distributed-memory computers

A Finite-Volume Model for Numerical Solidification of Mg Alloys