Showing papers in "Journal of Porous Media in 2018"

Flow of nanofluid containing gyrotactic microorganisms over static wedge in darcy-brinkman porous medium with convective boundary condition

Abstract: FLOW OF NANOFLUID CONTAINING GYROTACTIC MICROORGANISMS OVER STATIC WEDGE IN DARCY-BRINKMAN POROUS MEDIUM WITH CONVECTIVE BOUNDARY CONDITION A. Zaib,1,∗ M.M. Rashidi,2 & A.J. Chamkha3 1Department of Mathematical Sciences, Federal Urdu University of Arts, Science and Technology, Gulshan-e-Iqbal Karachi-75300, Pakistan 2Department of Civil Engineering, School of Engineering, University of Birmingham, Birmingham, United Kingdom 3Mechanical Engineering Department, Prince Mohammad Bin Fahd University, Al-Khobar 31952, Saudi Arabia

Nonsimilar solution of unsteady mixed convection flow near the stagnation point of a heated vertical plate in a porous medium saturated with a nanofluid

Abstract: NONSIMILAR SOLUTION OF UNSTEADY MIXED CONVECTION FLOW NEAR THE STAGNATION POINT OF A HEATED VERTICAL PLATE IN A POROUS MEDIUM SATURATED WITH A NANOFLUID Abdullah Abdullah,1 Fouad Ibrahim,2,3 & Ali Chamkha4,5,∗ 1Department of Mathematical Sciences, Umm Al-Qura University, Makkah, Saudi Arabia 2Department of Mathematics, University College, Umm Al-Qura University, Makkah, Saudi Arabia 3Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt 4Mechanical Engineering Department, Prince Mohammad Bin Fahd University, Al-Khobar 31952, Saudi Arabia 5RAK Research and Innovation Center, American University of Ras Al Khaimah, P.O. Box 10021, Ras Al Khaimah, United Arab Emirates

Free convection heat and mass transfer of a nanofluid past a horizontal cylinder embedded in a non-Darcy porous medium

Abstract: In the present paper, we analyzed the laminar boundary layer flow and heat transfer from a horizontal cylinder in a nanofluid-saturated non-Darcy porous medium in the presence of thermal radiation. This is the first paper presenting non-similar solutions for such a regime.The boundary layer conservation equations,which are parabolic in nature,are normalized into non-similar form and then solved computationally with an efficient, implicit, stable Keller-box finite difference scheme. Non-Darcy effects are simulated via a second-order Forchheimer drag force term in the momentum boundary layer equation. The model used for the nanofluid incorporates the effects of Brownian motion, buoyancy ratio, and thermophoresis. A non-similarity solution is presented that depends on the Brownian motion number (Nb), buoyancy ratio (Nr), thermophoresis number (Nt), Forchheimer parameter (Λ), and radiation parameter (F). Velocity is reduced with increasing Forchheimer parameter, whereas temperature and nanoparticle concentration are both enhanced.The model finds applications in energy systems and thermal enhancement of industrial flow processes

The effects of suction on forced convection boundary layer stagnation point slip flow in a darcy porous medium towards a shrinking sheet with presence of thermal radiation: a stability analysis

Abstract: The stagnation-point flow in a Darcy porous medium toward a shrinking sheet with the presence of thermal radiation, suction, velocity, and thermal slips is numerically studied. The partial differentiation equations have been transformed into ordinary differentiation equations by a similarity transformation. Numerical results show the existence of dual solutions in a certain range of the governing parameters. A stability analysis to identify which solutions are stable and physically realizable by using the bvp4c solver implemented in Matlab has also been presented.