Variable mass and thermal properties in three-dimensional viscous flow: Application of Darcy law

Abstract

This article concentrates on the properties of three-dimensional magneto-hydrodynamic flow of a viscous fluid saturated with Darcy porous medium deformed by a nonlinear variable thickened surface. Analysis of flow is disclosed in the neighborhood of stagnation point. Features of heat transport are characterized with Newtonian heating and variable thermal conductivity. Mass transport is carried out with first order chemical reaction and variable mass diffusivity. Resulting governing equations are transformed by implementation of appropriate transformations. Analytical convergent series solutions are computed via homotopic technique. Physical aspects of numerous parameters are discussed through graphical data. Drag force coefficient, Sherwood and Nusselt numbers are illustrated through graphs corresponding to various pertinent parameters. Graphical discussion reveals that conjugate and constructive chemical reaction parameters enhance the temperature and concentration distributions, respectively.

Keywords

Newtonian heating / chemical reaction / variable mass diffusivity / Darcy law

References

[1] MuhammadT, HayatT, ShehzadS A, AlsaediA. Viscous dissipation and Joule heating effects in MHD 3D flow with heat and mass fluxes [J]. Results in Physics, 2018, 8: 365-371

[2] KhanI, Shafqat UllahM Y, MalikM Y, HussainA. Numerical analysis of MHD Carreau fluid flow over a stretching cylinder with homogenous-heterogeneous reactions [J]. Results in Physics, 2018, 9: 1141-1147

[3] HayatT, AkramJ, AlsaediA, ZahirH. Endoscopy and homogeneous-heterogeneous reactions in MHD radiative peristaltic activity of Ree-Eyring fluid [J]. Results in Physics, 2018, 8: 481-488

[4] HussainA, MalikM Y, SalahuddinT, RubabA, KhanM. Effects of viscous dissipation on MHD tangent hyperbolic fluid over a non-linear stretching sheet with convective boundary conditions [J]. Results in Physics, 2017, 7: 3502-3509

[5] HayatT, NasirT, KhanM I, AlsaediA. Numerical investigation of MHD flow with Soret and Dufour effect [J]. Results in Physics, 2018, 8: 1017-1022

[6] YousofvR, DerakhshanS, GhasemiK, SiavashiM. MHD transverse mixed convection and entropy generation study of electromagnetic pump including a nanofluid using 3D LBM simulation [J]. International Journal of Mechanical Sciences, 2017, 133: 73-90

[7] GhasemiK, SiavashiM. MHD nanofluid free convection and entropy generation in porous enclosures with different conductivity ratios [J]. Journal of Magnetism and Magnetic Materials, 2017, 442: 474-490

[8] XieN, JiangC-w, HeY-h, YaoMing. Lattice Boltzmann method for thermomagnetic convection of paramagnetic fluid in square cavity under a magnetic quadrupole field [J]. Journal of Central South University, 2017, 24: 1174-1182

[9] KhalidA, KhanI, KhanA, ShafieS. Influence of wall couple stress in MHD flow of a micropolar fluid in a porous medium with energy and concentration transfer [J]. Results in Physics, 2018, 9: 1172-1184

[10] HayatT, AyubS, AlsaediA. Homogeneous-heterogeneous reactions in curved channel with porous medium [J]. Results in Physics, 2018, 9: 1455-1461

[11] HussainQ, LatifT, AlviN, AsgharS. Nonlinear radiative peristaltic flow of hydromagnetic fluid through porous medium [J]. Results in Physics, 2018, 9: 121-134

[12] ChenJ, ZhangX, ZhangP, DengJ. Variational multiscale element free Galerkin method for natural convection with porous medium flow problem [J]. International Journal of Heat and Mass Transfer, 2017, 107: 1014-1027

[13] KhanZ H, QasimM, HaqR U, MdallalQ M A. Closed form dual nature solutions of fluid flow and heat transfer over a stretching/shrinking sheet in a porous medium [J]. Chinese Journal of Physics, 2017, 55: 1284-1293

[14] MegahedA M. Slip flow and variable properties of viscoelastic fluid past a stretching surface embedded in a porous medium with heat generation [J]. Journal of Central South University, 2016, 23: 991-999

[15] AsiaeiS, ZadehkafiA, SiavashiM. Multi-layered porous foam effects on heat transfer and entropy generation of nanofluid mixed convection inside a two-sided lid-driven enclosure with internal heating [J]. Transport in Porous Media, 2019, 126(1): 223-247

[16] EmamiR Y, SiavashiM, MoghaddamG S. The effect of inclination angle and hot wall configuration on Cu-water nanofluid natural convection inside a porous square cavity [J]. Advanced Powder Technology, 2018, 29: 519-536

[17] SiavashiM, RostamiA. Two-phase simulation of non-Newtonian nanofluid natural convection in a circular annulus partially or completely filled with porous media [J]. International Journal of Mechanical Sciences, 2017, 133: 689-703

[18] SiavashiM, RasamH, IzadiA. Similarity solution of air and nanofluid impingement cooling of a cylindrical porous heat sink [J]. Journal of Thermal Analysis and Calorimetry, 2019, 135(2): 1399-1415

[19] HayatT, ZubairM, WaqasM, AlsaediA, AyubM. Impact of variable thermal conductivity in doubly stratified chemically reactive flow subject to non-Fourier heat flux theory [J]. Journal of Molecular Liquids, 2017, 234: 444-451

[20] NawazM, NazR, AwaisM. Magnetohydrodynamic axisymmetric flow of Casson fluid with variable thermal conductivity and free stream [J]. Alexandria Engineering Journal, 2018, 57(3): 2043-2050

[21] BilalS, RehmanK, MalikM Y, HussainA, KhanM. Effects of temperature dependent conductivity and absorptive/generative heat transfer on MHD three-dimensional flow of Williamson fluid due to bidirectional non-linear stretching surface [J]. Results in Physics, 2017, 7: 204-212

[22] HayatT, JavedM, ImtiazM, AlsaediA. Effect of Cattaneo-Christov heat flux on Jeffrey fluid flow with variable thermal conductivity [J]. Results in Physics, 2018, 8: 341-351

[23] WaqasM, KhanM I, HayatT, AlsaediA, KhanM I. On Cattaneo-Christov double diffusion impact for temperature-dependent conductivity of Powell-Eyring liquid [J]. Chinese Journal of Physics, 2017, 55: 729-737

[24] MajidS, MohammadJ. Optimal selection of annulus radius ratio to enhance heat transfer with minimum entropy generation in developing laminar forced convection of water-Al2O3 nanofluid flow [J]. Journal of Central South University, 2017, 24: 1850-1865

[25] SariM R, KezzarM, AdjabiR. Heat transfer of copper/water nanofluid flow through converging-diverging channel [J]. Journal of Central South University, 2016, 23: 484-496

[26] MaghsoudiP, SiavashiM. Application of nanofluid and optimization of pore size arrangement of heterogeneous porous media to enhance mixed convection inside a two-sided lid-driven cavity [J]. Journal of Thermal Analysis and Calorimetry, 2019, 135: 947-961

[27] SiavashiM, BahramiH R T, AminianE. Optimization of heat transfer enhancement and pumping power of a heat exchanger tube using nanofluid with gradient and multi-layered porous foams [J]. Applied Thermal Engineering, 2018, 138: 465-474

[28] LiaoS JHomotopy analysis method in non-linear differential equation [M], 2012, Heidelberg, Springer and Higher Education Press

[29] LiaoS JAdvances in the homotopy analysis method [M], 2014

[30] MaboobF, KhanW A, IsmailA I M. MHD flow over exponential radiating stretching sheet using homotopy analysis method [J]. Journal of King Saud University Engineering Sciences, 2017, 29: 68-74

[31] AhmadS, FarooqM, JavedM, AnjumA. Double stratification effects in chemically reactive squeezed Sutterby fluid flow with thermal radiation and mixed convection [J]. Results in Physics, 2018, 8: 1250-1259

[32] HayatT, RashidM, ImtiazM, AlsaediA. MHD convective flow due to a curved surface with thermal radiation and chemical reaction [J]. Journal of Molecular Liquids, 2017, 225: 482-489

[33] HayatT, KhanM I, FarooqM, GullaN, AlsaediA. Unsteady three-dimensional mixed convection flow with variable viscosity and thermal conductivity [J]. Journal of Molecular liquids, 2016, 223: 297-310

[34] AhmedA, NadeemS. Biomathematical study of time-dependent flow of a Carreau nanofluid through inclined catheterized arteries with overlapping stenosis [J]. Journal of Central South University, 2017, 24: 2725-2744

[35] KHAN J A, MUSTAFA M, HAYAT T, ALSAEDI A. On three-dimensional flow and heat transfer over a non-linearly stretching sheet: Analytical and numerical solution [J]. Plos One, 2014, 9: e107287.