Hamzeh Taha Alkasasbeh^1,*, Muhammad Khairul Anuar Mohamed²

Frontiers in Heat and Mass Transfer, Vol.21, pp. 265-279, 2023, DOI:10.32604/fhmt.2023.041539

Abstract The present study numerically investigates the flow and heat transfer of porous Williamson hybrid nanofluid on an exponentially shrinking sheet with magnetohydrodynamic (MHD) effects. The nonlinear partial differential equations which governed the model are first reduced to a set of ordinary differential equations by using the similarity transformation. Next, the BVP4C solver is applied to solve the equations by considering the pertinent fluid parameters such as the permeability parameter, the magnetic parameter, the Williamson parameter, the nanoparticle volume fractions and the wall mass transfer parameter. The single (SWCNTs) and multi-walled carbon nanotubes (MWCNTs) nanoparticles are taken as the hybrid nanoparticles.… More >

R.R. Kairi^a, Ch. RamReddy^b,*

Frontiers in Heat and Mass Transfer, Vol.6, pp. 1-7, 2015, DOI:10.5098/hmt.6.6

Abstract In this paper, we investigated the influence of melting on mixed convection heat and mass transfer from the vertical flat plate in a non-Newtonian nanofluid saturated porous medium. The wall and the ambient medium are maintained at constant, but different, levels of temperature and concentration. The Ostwald–de Waele power-law model is used to characterize the non-Newtonian nanofluid behavior. A similarity solution for the transformed governing equations is obtained. The numerical computation is carried out for various values of the non-dimensional physical parameters. The variation of temperature, concentration, heat and mass transfer coefficients with the power-law index, mixed convection parameter, melting… More >

D. Lourdu Immaculate^a , R. Muthuraj^b,*, Anant Kant Shukla^c, S. Srinivas^d

Frontiers in Heat and Mass Transfer, Vol.7, pp. 1-14, 2016, DOI:10.5098/hmt.7.12

Abstract This article aims to examine the MHD unsteady flow of Williamson nanofluid in a vertical channel filled with a porous material and oscillating wall temperature. The modeling of this problem is transformed to ordinary differential equations by collecting the non-periodic and periodic terms and then series solutions are obtained by using a powerful method known as the homotopy analysis method (HAM). The influence of involved parameters on heat and mass transfer characteristics of the fluid flow is computed and presented graphically. Further, variations on volume flow rate, coefficient of skin friction, heat transfer rate and mass transfer rate are also… More >

S. Harinath Reddy^a , M.C. Raju^a,*, E. Keshava Reddy^b

Frontiers in Heat and Mass Transfer, Vol.7, pp. 1-9, 2016, DOI:10.5098/hmt.7.21

Abstract This manuscript presents a detailed numerical study on the influence of radiation absorption and chemical reaction on unsteady magneto hydrodynamic free convective heat and mass transfer flow. A heat generating Casson fluid past an oscillating vertical plate embedded in a porous medium in the presence of constant wall temperature and concentration is considered. The non-dimensional governing equations along with the corresponding boundary conditions are solved using Finite difference method numerically. Effects of various emerging flow parameters on concentration, temperature and velocity distributions are presented graphically and analyzed. Expressions for skin-friction, Nusselt number and Sherwood number are also obtained. Effects of… More >

G. S. Seth^a,*, P. K. Mandal^a, A. J. Chamkha^b

Frontiers in Heat and Mass Transfer, Vol.7, pp. 1-12, 2016, DOI:10.5098/hmt.7.23

Abstract A theoretical investigation of unsteady hydromagnetic free convection flow with heat and mass transfer of a viscous, incompressible, electrically conducting, optically thick radiating and chemically reactive fluid near an impulsively moving vertical plate with ramped heat flux through fluid saturated porous medium in the presence of inclined magnetic field is carried out. Exact solutions of the governing equations for fluid velocity, fluid temperature and species concentration are obtained by Laplace transform technique. The expressions for the skin-friction, rate of mass transfer at the plate and plate temperature are also derived. Numerical results for fluid velocity, fluid temperature and species concentration… More >

Wubshet Ibrahim^a,∗, Bandari Shankar^b

Frontiers in Heat and Mass Transfer, Vol.7, pp. 1-8, 2016, DOI:10.5098/hmt.7.37

Abstract The Numerical analysis of magneto-hydrodynamics (MHD) boundary layer flow and heat transfer of incompressible, viscous and electrically conducting fluid is presented. The flow is due to continuously stretching permeable surface embedded in non-Darcian porous medium in the presence of transverse magnetic field, thermal radiation and non-uniform heat source/sink. The flow equations in the porous medium are governed by ForchheimerBrinkman extended Darcy model. A similarity transformation is used to transform partial differential equations into a coupled higher order non-linear ordinary differential equations. These equations are solved numerically using implicit finite difference scheme called Keller-Box method. The effects of the governing parameters… More >

Shahirah Abu Bakara, Norihan Md. Arifin^a,*, Roslinda Nazar^b, Fadzilah Md. Ali^a, Ioan Pop^c

Frontiers in Heat and Mass Transfer, Vol.7, pp. 1-6, 2016, DOI:10.5098/hmt.7.38

Abstract A mathematical model of forced convection boundary layer stagnation-point slip flow in Darcy-Forchheimer porous medium over a shrinking sheet is presentedin this paper. The governing partial differential equations are transformed into ordinary differential equation using self-similarity transformation which are then solved numerically with shooting method. A parametric study of the physical parameters involved in the problem is conducted and representative set of numerical results are presented through graphs and tables, and are discussed. More >

Nosheen Fatima¹, Nabeela Kousar¹, Khalil Ur Rehman^2,3,*, Wasfi Shatanawi^2,4,5

CMES-Computer Modeling in Engineering & Sciences, Vol.137, No.3, pp. 2311-2330, 2023, DOI:10.32604/cmes.2023.026994

Abstract A computational analysis of magnetized hybrid Darcy-Forchheimer nanofluid flow across a flat surface is presented in this work. For the study of heat and mass transfer aspects viscous dissipation, activation energy, Joule heating, thermal radiation, and heat generation effects are considered. The suspension of nanoparticles singlewalled carbon nanotubes (SWCNTs) and multi-walled carbon nanotubes (MWCNTs) are created by hybrid nanofluids. However, single-walled carbon nanotubes (SWCNTs) produce nanofluids, with water acting as conventional fluid, respectively. Nonlinear partial differential equations (PDEs) that describe the ultimate flow are converted to nonlinear ordinary differential equations (ODEs) using appropriate similarity transformation. The ODEs are dealt with… More >

Chetteti RamReddy^a,†, Teegala Pradeepa^a

Frontiers in Heat and Mass Transfer, Vol.8, pp. 1-10, 2017, DOI:10.5098/hmt.8.6

Abstract A numerical approach has been used to analyze the effects of homogeneous-heterogeneous reaction and nonlinear density temperature variation over a vertical plate in an incompressible micropolar fluid flow saturated Darcy porous medium. In addition, convective boundary condition is incorporated in a micropolar fluid model. The similarity representation for the set of partial differential equations is attained by applying Lie group transformations. The resulting non-dimensional equations are worked out numerically by spectral quasi-linearization method. Less temperature and wall couple stress coefficient, but more velocity, skin friction, species concentration, and heat transfer rate are noticed by enhancing the nonlinear convection parameter. It… More >

Shalini Jain^*, Amit Parmar

Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-8, 2017, DOI:10.5098/hmt.9.40

Abstract Present paper aims to investigate entropy generation of unsteady radiative Casson fluid flow through porous medium over a permeable stretching surface with inclined magnetic field. Time-dependent partial differential equations are transformed into non-linear ordinary differential equations using similarity transformations. These transformed equations are solved numerically by Runge–Kutta fourth-order with shooting technique. The effects of pertinent parameter such as magnetic field parameter, Casson fluid parameter, inclined angle of magnetic field parameter, Radiation parameter and Reynolds number on the velocity, temperature and entropy profiles are presented graphically. Local Nusselt and local Sherwood number are also obtained and presented in tabulated form. More >