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  • Open Access

    ARTICLE

    SCALING GROUP TRANSFORMATION FOR MIXED CONVECTION IN A POWER-LAW FLUID SATURATED POROUS MEDIUM WITH EFFECTS OF SORET, RADIATION AND VARIABLE PROPERTIES

    J. Pranithaa,* , G. Venkata Sumana , D. Srinivasacharyaa

    Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-8, 2017, DOI:10.5098/hmt.9.39

    Abstract An analysis is performed to investigate the influence of radiation, thermal-diffusion and variable properties on mixed convection flow, heat and mass transfer from a vertical plate in a porous medium saturated with a power-law fluid. The non-linear partial differential equations are reduced to ordinary differential equations by implementing Lie scaling group transformations. These ordinary differential equations are solved numerically by implementing a shooting technique. The numerical results for dimensionless velocity, temperature and concentration profiles for pseudo-plastic, Newtonian and dilatant fluids are presented graphically for different values of variable viscosity, variable thermal conductivity, Soret and radiation parameters. Heat and mass transfer… More >

  • Open Access

    ARTICLE

    HEAT TRANSFER ON MHD NANOFLUID FLOW OVER A SEMI INFINITE FLAT PLATE EMBEDDED IN A POROUS MEDIUM WITH RADIATION ABSORPTION, HEAT SOURCE AND DIFFUSION THERMO EFFECT

    N. Vedavathia , G. Dharmaiahb,* , K.S. Balamuruganc, J. Prakashd

    Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-8, 2017, DOI:10.5098/hmt.9.38

    Abstract The effects of radiation absorption, first order chemical reaction and diffusion thermo on MHD free convective heat and mass transfer flow of a nanofluid past a semi infinite vertical flat plate are analyzed. The temperature and concentration at the surface are assumed to be oscillatory type. Four types of cubic nano particles which are uniform and size namely, Silver (Ag), Aluminum (Al2O3), Copper (Cu) and Titanium Oxide (TiO2) with water as a base fluid is taken into account. The set of ordinary differential equations are solved by using regular perturbation technique. The impact of various flow parameters on nanofluid velocity,… More >

  • Open Access

    ARTICLE

    NONLINEAR CONVECTIVE TRANSPORT ALONG AN INCLINED PLATE IN NON-DARCY POROUS MEDIUM SATURATED BY A MICROPOLAR FLUID WITH CONVECTIVE BOUNDARY CONDITION

    Ch. RamReddy , P. Naveen, D. Srinivasacharya

    Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-10, 2017, DOI:10.5098/hmt.9.35

    Abstract The role of nonlinear variation of density with temperature (NDT) and concentration (NDC) on the free convective flow of non-Darcy micropolar fluid over an inclined plate has been studied for the first time. In addition, the modified form of thermal slip and isothermal condition is utilized to address heat transfer phenomena in nuclear plants, textile drying, and heat exchangers, etc. The respective partial differential equations and boundary conditions are cast into a sequence of the ordinary differential equation by the local non-similarity technique. The remodeled equations are simplified numerically by applying a successive linearization method (SLM). A constructive investigation emphasizing… More >

  • Open Access

    ARTICLE

    SOLUTE TRANSPORT AND HEAT TRANSFER IN SINGLE-PHASE FLOW IN POROUS MEDIUM WITH GENERATIVE/DESTRUCTIVE CHEMICAL REACTION AND VARIABLE VISCOSITY IMPACTS

    Driss Achemlala,† , Mohammed Sritib , Mohamed El Harouib , Elyazid Flilihib , Mounir Kriraaa

    Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-10, 2017, DOI:10.5098/hmt.9.34

    Abstract In this paper we study the combined free convection, due to thermal and species diffusion, of a viscous incompressible non Newtonian fluid over a vertical plate embedded in a saturated porous medium with three thermal states of the surface and a constant concentration in the presence of a chemical reaction. The effect of temperature dependent viscosity is also investigated. The Ostwald-de Waele power-law model is used to characterize the non-Newtonian fluid behavior. The governing boundary layer equations along with the boundary conditions are first cast into a dimensionless form by a unique similarity transformation and the resulting coupled differential equations… More >

  • Open Access

    ARTICLE

    VARIABLE HEAT SOURCE AND WALL RADIATION EFFECTS ON BOUNDARY LAYER CONVECTION FROM AN INCLINED PLATE IN NON-DARCIAN POROUS MEDIUM

    Elyazid Flilihia,† , Mohammed Sritia , Driss Achemlalb , Mohamed El harouia

    Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-8, 2017, DOI:10.5098/hmt.9.23

    Abstract A semi - analytical investigation is performed to analyze the thermal convection flow with a radiation flux and a variable internal heat generation along an inclined plate embedded in a saturated porous medium. The flow in the porous medium is modeled with the Darcy-Brinkman law taking into account the convective term, while the temperature field is obtained from the energy equation. These governing equations with the boundary conditions are first cast into a dimensionless form by using a unique similarity transformation and the resulting coupled differential equations are then solved numerically by a computational program based on the fifth order… More >

  • Open Access

    ARTICLE

    COMBINED INFLUENCE OF HALL CURRENTS AND JOULE HEATING ON HEMODYNAMIC PERISTALTIC FLOW WITH POROUS MEDIUM THROUGH A VERTICAL TAPERED ASYMMETRIC CHANNEL WITH RADIATION

    S. Ravi Kumar* , S. K. Abzal

    Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-9, 2017, DOI:10.5098/hmt.9.19

    Abstract The aim of the present attempt is hall currents and joule heating on peristaltic blood flow in porous medium through a vertical tapered asymmetric channel under the influence of radiation. The Mathematical modeling is investigated by utilizing long wavelength and low Reynolds number assumptions. The indicates an appreciable increase in the axial velocity distribution with increase in hall current parameter and porosity parameter whereas the result in axial velocity distribution diminished by increase in magnetic field parameter. The result in pressure gradient reduces by rise in hall current parameter, porosity parameter and volumetric flow rate. The temperature of the fluid… More >

  • Open Access

    ARTICLE

    MHD SLIP FLOW AND HEAT TRANSFER OVER AN EXPONENTIALLY STRETCHING PERMEABLE SHEET EMBEDDED IN A POROUS MEDIUM WITH HEAT SOURCE

    P. R. Sharmaa , Sushila Choudharya,* , O. D. Makindeb

    Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-7, 2017, DOI:10.5098/hmt.9.18

    Abstract Steady two dimensional laminar magnetohydrodynamic (MHD) slip flow and heat transfer of a viscous incompressible and electrically conducting fluid past over a flat exponentially non-conducting stretching porous sheet embedded in a porous medium with non uniform permeability in the presence of non uniform heat source is investigated. The governing equations of velocity and temperature distributions are solved numerically and the effects of different physical parameters are shown through graphs. The rate of shear stress and the rate of heat transfer at the sheet are derived, discussed numerically and their numerical values for various values of physical parameters are presented through… More >

  • Open Access

    ARTICLE

    NONLINEAR RADIATIVE HEAT TRANSFER TO CARREAU FLUID OVER A NONLINEAR STRETCHING SHEET IN A POROUS MEDIUM IN THE PRESENCE OF NON-UNIFORM HEAT SOURCE/SINK AND VISCOUS DISSIPATION

    M. Umeshaiah1 , M. R. Krishnamurthy2 , N.G. Rudraswamy3 , B. J. Gireesha4, B.C. Prasannakumara5,*

    Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-8, 2017, DOI:10.5098/hmt.9.4

    Abstract This article presents the effect of nonlinear thermal radiation on boundary layer flow and heat transfer of Carreau fluid model over a nonlinear stretching sheet embedded in a porous medium in the presence of non-uniform heat source/sink and viscous dissipation with convective boundary condition. The governing partial differential equations with the corresponding boundary conditions are reduced to a set of ordinary differential equations using similarity transformation, which is then solved numerically by the fourth-fifth order Runge–Kutta-Fehlberg integration scheme featuring a shooting technique. The influence of significant parameters such as power law index parameter, Stretching parameter, Weissenberg number, permeability parameter, temperature… More >

  • Open Access

    ARTICLE

    EFFECT OF THE VARIABILITY OF HEAT AND MASS TRANSFER COEFFICIENTS ON 3D UNSATURATED POROUS MEDIUM DRYING

    Nidhal Ben Khedhera,b,*

    Frontiers in Heat and Mass Transfer, Vol.10, pp. 1-7, 2018, DOI:10.5098/hmt.10.28

    Abstract A Three-dimensional unstructured control volume finite method is developed to simulate unsteady coupled heat and mass transfer phenomena that arise during convective drying of unsaturated porous media. In order to simulate 3D geometries, as application here the drying of clay brick portion, we developed a Fortran code based on 3D unstructured meshes generated by the free mesh generator Gmsh. Several simulation results are presented and depict the effect of the variability of heat and mass transfer coefficients. These simulations prove that only three-dimensional model is able to capture the effect of variability of heat and mass transfer coefficients. More >

  • Open Access

    ARTICLE

    HOMOTOPY ANALYSIS FOR MHD HIEMENZ FLOW IN A POROUS MEDIUM WITH THERMAL RADIATION, VELOCITY AND THERMAL SLIPS EFFECTS

    Nasreen Bano∗,† , B. B. Singh, S. R. Sayyed

    Frontiers in Heat and Mass Transfer, Vol.10, pp. 1-9, 2018, DOI:10.5098/hmt.10.14

    Abstract The present study deals with the two dimensional steady laminar forced MHD Hiemenz flow past a flat plate in a porous medium. The effects of thermal radiation and partial slips on the flow field have been investigated under the variable wall temperature condition of the plate. The governing equations have been transformed into a set of coupled non-linear ordinary differential equations (ODEs) by using suitable similarity transformations. These equations have been solved analytically by using homotopy analysis method (HAM). The effects of Prandtl number, suction/blowing parameter, permeability parameter, velocity slip parameter, radiation parameter, magnetic parameter, wall temperature exponent and thermal… More >

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