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  • Open Access

    ARTICLE

    EFFECTS OF VISCOUS DISSIPATION AND AXIAL HEAT CONDUCTION ON FORCED CONVECTION FLOW OF HERSCHELBULKLEY FLUID IN CIRCULAR DUCT WITH AXIALLY VARIABLE WALL HEAT FLUX

    Rabha Khatyr*, Jaafar Khalid Naciri

    Frontiers in Heat and Mass Transfer, Vol.15, pp. 1-11, 2020, DOI:10.5098/hmt.15.5

    Abstract The present study focuses on the effects of viscous dissipation and axial heat conduction on the asymptotic behavior of the laminar forced convection in a circular duct for a Herschel-Bulkley fluid with variable wall heat flux. Analytical asymptotic solutions are presented for the case of axial variations of the wall heat flux, with finite non-vanishing values at infinity along the flow direction. The asymptotic bulk and mixing Nusselt numbers and the asymptotic bulk and mixing temperature distributions are evaluated analytically in the case of axially variable wall heat flux for which polynomial and logarithmic functions are considered as examples. It… More >

  • Open Access

    ARTICLE

    NUMERICAL SOLUTION OF THE EFFECTS OF HEAT AND MASS TRANSFER ON UNSTEADY MHD FREE CONVECTION FLOW PAST AN INFINITE VERTICAL PLATE

    D. Santhi Kumaria,*, Venkata Subrahmanyam Sajjaa, P. M. Kishoreb,†

    Frontiers in Heat and Mass Transfer, Vol.16, pp. 1-10, 2021, DOI:10.5098/hmt.16.24

    Abstract This study attempts to explore a qualitative analysis of the effects of Soret on an unsteady magnetohydrodynamics free convection flow of a chemically reacting incompressible fluid past an infinite vertical plate embedded in a porous medium taking the source of heat and thermal radiation into account as well as viscous dissipation. The central equations are scrupulously converted into sets of coupled nonlinear partial differential equations for providing logical solutions. The method of Galerkin finite element is used considering appropriate boundary conditions for diverse physical metrics and then numerically analyzed employing MATLAB. A significant change in velocity, temperature, concentration profiles is… More >

  • Open Access

    ARTICLE

    EFFECT OF MELTING HEAT TRANSFER AND THERMAL RADIATION ON SQUEEZING FLOW OF A CASSON FLUID WITH CHEMICAL REACTION IN POROUS MEDIUM

    Bhagawan Singh Yadav, Sushila Choudhary

    Frontiers in Heat and Mass Transfer, Vol.18, pp. 1-10, 2022, DOI:10.5098/hmt.18.18

    Abstract The present study concentrates on squeeze MHD flow of Casson fluid between parallel plates surrounded by a porous medium. The influence of melting, viscous dissipation and thermal radiation on the heat transfer process is disclosed. The characteristics of mass transport are detected with chemical reactions. Suitable similarity transforms are used to convert the partial differential equations into a system of ordinary differential equations. The transformed equations are solved using the bvp4c matlab solver with the shooting method. Our present study concluded that fluid velocity has direct relation with melting parameter while it is reciprocally related to squeezing parameter and reverse… More >

  • Open Access

    ARTICLE

    EFFECTS OF VISCOUS DISSIPATION AND AXIAL HEAT CONDUCTION ON FORCED CONVECTION DUCT FLOW OF HERSCHEL-BULKLEY FLUID WITH UNIFORM WALL TEMPERATURE OR CONVECTIVE BOUNDARY CONDITIONS

    Rabha Khatyr*, Jaafar Khalid Naciri

    Frontiers in Heat and Mass Transfer, Vol.19, pp. 1-8, 2022, DOI:10.5098/hmt.19.23

    Abstract The aim is to study the asymptotic behavior of the temperature field for the laminar forced convection of a Herschel-Bulkley fluid flowing in a circular duct considering both viscous dissipation and axial heat conduction. The asymptotic bulk and mixing Nusselt numbers and the asymptotic bulk and mixing temperature distribution are evaluated analytically in the cases of uniform wall temperature and convection with an external isothermal fluid. In particular, it has been proved that the fully developed value of Nusselt number for convective boundary conditions is independent of the Biot number and is equal to the value of fully developed Nusselt… More >

  • Open Access

    ARTICLE

    ANALYTICAL SOLUTION OF THE EXTENDED GRAETZ PROBLEM IN MICROCHANNELS AND MICROTUBES WITH FIXED PRESSURE DROP

    Mohamed Shaimi* , Rabha Khatyr, Jaafar Khalid Naciri

    Frontiers in Heat and Mass Transfer, Vol.20, pp. 1-14, 2023, DOI:10.5098/hmt.20.23

    Abstract This paper presents an exact analytical solution to the extended Graetz problem in microchannels and microtubes, including axial heat conduction, viscous dissipation, and rarefaction effects for an imposed constant wall temperature. The flow in the microchannel or microtube is assumed to be hydrodynamically fully developed. At the same time, the first-order slip-velocity and temperature jump models represent the wall boundary conditions. The energy equation is solved analytically, and the solution is obtained in terms of Kummer functions with expansion constants directly determined from explicit expressions. The local and fully developed Nusselt numbers are calculated in terms of the Péclet number,… More >

  • Open Access

    ARTICLE

    FINITE ELEMENT ANALYSYS OF RADIATIVE UNSTEADY MHD VISCOUS DISSIPATIVE MIXED CONVECTION FLUID FLOW PAST AN IMPULSIVELY STARTED OSCILLATING PLATE IN THE PRESENCE OF HEAT SOURCE

    D. Santhi Kumaria,* , Venkata Subrahmanyam Sajjaa , P. M. Kishoreb,†

    Frontiers in Heat and Mass Transfer, Vol.20, pp. 1-11, 2023, DOI:10.5098/hmt.20.5

    Abstract The aim of present study is an influence of viscous dissipation and heat source on an unsteady MHD mixed convective, fluid flow past an impulsively started oscillating plate embedded in a porous medium in presence of magnetic field, heat and mass transfer. The modeling equations are converted to dimensionless equations then solved through Galerkin finite element method and discussed in the flow distributions with the help of MATLAB. Numerical results for the velocity, temperature and concentration distributions as well as the skin-friction coefficient, Nusselt number and Sherwood number are discussed in detail and displayed graphically for various physical parameters. It… More >

  • Open Access

    ARTICLE

    Nanoparticle Shape Effect on a Sodium–Alginate Based Cu–Nanofluid under a Transverse Magnetic Field

    Samia Rani1, H. A. M. Al–Sharifi2, Mohammad S. Zannon3, Abid Hussanan1,*, Zafar Ullah1

    FDMP-Fluid Dynamics & Materials Processing, Vol.19, No.7, pp. 1875-1896, 2023, DOI:10.32604/fdmp.2023.025224

    Abstract Sodium-alginate (SA) based nanofluids represent a new generation of fluids with improved performances in terms of heat transfer. This work examines the influence of the nanoparticle shape on a non–Newtonian viscoplastic Cu–nanofluid pertaining to this category. In particular, a stretching/shrinking sheet subjected to a transverse magnetic field is considered. The proposed Cu–nanofluid consists of four different nanoparticles having different shapes, namely bricks, cylinders, platelets, and blades dispersed in a mixture of sodium alginate with Prandtl number Pr = 6.45. Suitable similarity transformations are employed to reduce non–linear PDEs into a system of ODEs and these equations and related boundary conditions… More >

  • Open Access

    ARTICLE

    The Effects of Thermal Radiation and Viscous Dissipation on the Stagnation Point Flow of a Micropolar Fluid over a Permeable Stretching Sheet in the Presence of Porous Dissipation

    Muhammad Salman Kausar1, H.A.M. Al-Sharifi2, Abid Hussanan3,*, Mustafa Mamat1

    FDMP-Fluid Dynamics & Materials Processing, Vol.19, No.1, pp. 61-81, 2023, DOI:10.32604/fdmp.2023.021590

    Abstract In this paper, the effects of thermal radiation and viscous dissipation on the stagnation–point flow of a micropolar fluid over a permeable stretching sheet with suction and injection are analyzed and discussed. A suitable similarity transformation is used to convert the governing nonlinear partial differential equations into a system of nonlinear ordinary differential equations, which are then solved numerically by a fourth–order Runge–Kutta method. It is found that the linear fluid velocity decreases with the enhancement of the porosity, boundary, and suction parameters. Conversely, it increases with the micropolar and injection parameters. The angular velocity grows with the boundary, porosity,… More >

  • Open Access

    REVIEW

    Hydromagnetic Nanofluid Film Flow over a Stretching Sheet with Prescribed Heat Flux and Viscous Dissipation

    Nourhan I. Ghoneim1,*, Ahmed M. Megahed2

    FDMP-Fluid Dynamics & Materials Processing, Vol.18, No.5, pp. 1373-1388, 2022, DOI:10.32604/fdmp.2022.020509

    Abstract Thermal radiative heat transfer through a thin horizontal liquid film of a Newtonian nanofluid subjected to a magnetic field is considered. The physical boundary conditions are a variable surface heat flux and a uniform concentration along the sheet. Moreover, viscous dissipation is present and concentration is assumed to be influenced by both thermophoresis and Brownian motion effects. Using a similarity method to turn the underlying Partial differential equations into a set of ordinary differential equations (ODEs) and a shooting technique to solve these equations, the skin-friction coefficient, the Nusselt number, and the Sherwood number are determined. Among other things, it… More >

  • Open Access

    ARTICLE

    MHD and Viscous Dissipation Effects in Marangoni Mixed Flow of a Nanofluid over an Inclined Plate in the Presence of Ohmic Heating

    D. R. V. S. R. K. Sastry1, Peri K. Kameswaran2, Mohammad Hatami3,*

    FDMP-Fluid Dynamics & Materials Processing, Vol.17, No.2, pp. 285-300, 2021, DOI:10.32604/fdmp.2021.014429

    Abstract The problem of Marangoni mixed convection in the presence of an inclined magnetic field with uniform strength in a nanofluid (formed by the dispersion of two metallic nanoparticles, i.e., Copper (Cu), and alumina (Al2O3) in water) is addressed numerically. The effects of viscous dissipation and Ohmic heating are also considered. The original set of governing partial differential equations is reduced to a set of non-linear coupled ordinary differential equations employing the similarity transformation technique. The simplified equations are numerically solved through MATLAB ‘bvp4c’ algorithm. The results are presented in terms of graphs for several parameters. It is found that enhancing… More >

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