... ¯ m ( r ) ,   inverse 1 Corresponding author. e-mail:  cotta@mecanica.coppe.ufrj.br 02 10 2023 19 02 2024 03 04 2024 Nusseltxteta natural convection horizontal annular cavities Navier–Stokes equations laminar flow hybrid methods integral...

... 05 2022 circular cylinder rotational oscillation heat transfer shear flow finite difference Navier–Stokes equations University Grants Commission 10.13039/501100001501 F.4-2/2006 (BSR)/MA/18-19/0095 Fluid flow and heat transfer around bluff bodies like circular...

...; published online August 11, 2015. Assoc. Editor: Peter Vadasz. 25 01 2014 11 07 2015 heat transfer Navier–Stokes equations Green’s function eigenfunction expansion semi-annulus EOF Through advances in manufacturing technology, the transport processes in microchannels...

... 09 12 2011 09 12 2011 computational fluid dynamics heat transfer laminar flow microchannel flow Navier-Stokes equations numerical analysis microchannel heat transfer dimple protrusion numerical simulation With the advances of microelectromechanical systems (MEMS...

...Mustafa Turkyilmazoglu The present paper is concerned with a class of exact solutions to the steady Navier-Stokes equations for the incompressible Newtonian viscous fluid flow motion due to a porous disk rotating with a constant angular speed about its axis. The recent study (Turkyilmazoglu, 2009...

... equations natural convection Navier-Stokes equations numerical analysis unsteady natural convection boundary layer inclined plate instantaneous heating Prandtl number Natural convection adjacent to a heated or cooled flat plate is a common phenomenon in nature and industry, and thus...

... convection along wavy surface are derived from complete Navier–Stokes equations. A simple transformation is proposed to transform the governing equations into boundary layer equations for solution by the cubic spline collocation method. The effects such as the wavy geometry, the local skin-friction...

...H. J. Xu; Z. G. Qu; T. J. Lu; Y. L. He; W. Q. Tao Fully developed forced convective heat transfer in a parallel-plate channel partially filled with highly porous, open-celled metallic foam is analytically investigated. The Navier–Stokes equation for the hollow region is connected with the Brinkman...

...Ram Ranjan; Suresh V. Garimella; Jayathi Y. Murthy capillarity condensation evaporation flow through porous media heat pipes heat transfer Navier-Stokes equations numerical analysis pipe flow thermal conductivity two-phase flow 28 04 2011 28 04 2011 2011...

... for laminar flow, and the turbulent local Nusselt number is approximately 4 times that of laminar flow at the final steady state. 09 11 2009 25 01 2011 26 04 2011 26 04 2011 boundary layer turbulence compressible flow heat transfer Navier-Stokes equations numerical analysis...

... of the theoretical model of the present case of study mainly consist of a set of fluid flow partial differential equations (Navier–Stokes equations, which represent continuity and momentum equations) and the energy equation. The flow in the present study is considered to be three dimensional, steady state...

... on a collocated grid system. (2) The piecewise linear interface calculation is used to capture interfaces and perform accurate estimations of cell-edged density and viscosity. (3) The conservative Navier–Stokes equations are solved with the convective term discretized by a second and third order interpolation...

... heat conduction Knudsen flow Navier-Stokes equations numerical analysis Boltzmann equation rarefied gas microflow oscillatory heating The flow of a rarefied gas has been studied extensively for more than five decades, and the behaviors of various fundamental flows have been...

... 02 11 2010 02 11 2010 confined flow finite volume methods flow simulation laminar flow lattice Boltzmann methods natural convection Navier-Stokes equations nonlinear equations lattice Boltzmann method energy equation supercritical fluid flow cavity enclosure free...

... with 3 mm major diameter, 2 mm minor diameter, and 20 mm height. The Darcy–Brinkman–Forchheimer and classical Navier–Stokes equations, together with corresponding energy equations are used in the numerical analysis of flow field and heat transfer in the heat sink with and without metal foam inserts...

... ′ ( t , 0 ) to understand the underlying physics of the problem. Equations 2 , 3 , 4 represent the unsteady Navier–Stokes equations along with the energy equation, whose corresponding steady state counterparts are identical to those of Kumar et al. ( 8 ), if C is also removed from...

...Erik J. Arlemark; S. Kokou Dadzie; Jason M. Reese We investigate a model for microgas-flows consisting of the Navier–Stokes equations extended to include a description of molecular collisions with solid-boundaries together with first- and second-order velocity-slip boundary conditions...

... the three-dimensional Navier–Stokes equation. They found that radiation reduces the buoyancy effect, whereas the local friction factor and Nusselt number are enhanced by buoyancy-assisting flow. Chiu et al. ( 17 ) studied the effect of radiation on mixed convection in a horizontal rectangular duct...

...Rosemarie Mohais; Balswaroop Bhatt We examine the heat transfer in a Newtonian fluid confined within a channel with a lower permeable wall. The upper wall of the channel is impermeable and driven by an accelerating surface velocity. Through a similarity solution, the Navier–Stokes equations...

...Mustafa Turkyilmazoglu A study is pursued in this paper for the evaluation of the exact solution of the steady Navier–Stokes equation, governing the incompressible viscous Newtonian, electrically conducting fluid flow motion over a porous disk, rotating at a constant angular speed. The three...