Sanjib Sengupta^a,*, Amrit Karmakar^b

Frontiers in Heat and Mass Transfer, Vol.11, pp. 1-13, 2018, DOI:10.5098/hmt.11.30

Abstract In this paper an analysis on heat and mass transfer is made to study magnetohydrodynamic (MHD) mixed convective flow of an incompressible viscous fluid flowing past an inclined plate. A magnetic field of uniform strength is applied to the plate to influence the flow. Due to weak voltage differences caused by the very low polarization charges, the influence of electric field is considered to be neglected. Again large temperature gradient ensures cross diffusion effect like thermo-diffusion (Soret) in the field. The governed set of non-linear partial differential equations is solved by developing a multi-parameter asymptotic… More >

D. R. V. S. R. K. Sastry

Frontiers in Heat and Mass Transfer, Vol.11, pp. 1-7, 2018, DOI:10.5098/hmt.11.3

Abstract The present paper investigates the combined effects of melting phenomenon and viscous dissipation over a steady incompressible mixed convection boundary layer fluid flow along a vertical plate. Radiation and double dispersion are also taken into consideration. Further effect of homogeneous chemical reaction of order ’n’ is studied over the non-Darcy porous plate. Continuum equations that characterize fluid flow are transformed to a set of non linear ordinary differential equations through a suitable similarity transformation. These equations are then solved by MATLAB ’bvp4c’ iterative programming method. As a matter of accuracy and validation, available results are More >

M. D. Shamshuddin^{1, *}, P. V. Satya Narayana²

FDMP-Fluid Dynamics & Materials Processing, Vol.14, No.1, pp. 57-86, 2018, DOI:10.3970/fdmp.2018.014.057

Abstract In the present paper, a numerical analysis is performed to study the primary and secondary flows of a micropolar fluid flow past an inclined plate with viscous dissipation and thermal radiation in a rotating frame. A uniform magnetic field of strength Bo is applied normal to the plane of the plate. The whole system rotates with uniform angular velocity about an axis normal to the plate. The governing partial differential equations are transformed into coupled nonlinear partial differential equations by using the appropriate dimensionless quantities. The resulting equations are then solved by the Galerkin finite More >

Fábio A. Caldas^a,*, Paulo M. Coelho^b,†

Frontiers in Heat and Mass Transfer, Vol.8, pp. 1-8, 2017, DOI:10.5098/hmt.8.32

Abstract In this paper, Nusselt numbers for a power-law fluid in a fully developed laminar flow between parallel plates with constant, and different, wall heat fluxes in the presence of dissipation effects are presented. The Nusselt numbers values were obtained following two different approaches. One is the “classical” approach, based on a single bulk temperature, and this approach is used in this work to obtain for the first time generic analytical expressions for Nusselt numbers. In the new approach, different bulk temperatures are used for each Nu′ determination, one bulk temperature for each side of the More >

Machireddy Gnaneswara Reddy^a,*, Gorla Rama Subba Reddy^b

Frontiers in Heat and Mass Transfer, Vol.8, pp. 1-9, 2017, DOI:10.5098/hmt.8.20

Abstract The objective of the present communication is to study the problem of micropolar fluid flow with temperature dependent thermal conductivity over a nonlinear stretching convective vertical surface in the presence of Lorentz force and viscous dissipation. Due to the nature of heat transfer in the flow past vertical surface, Cattaneo-Christov heat flux model and Joule heating effects are properly accommodated in the energy equation. The governing partial differential equations for the flow and heat transfer are converted into a set of ordinary differential equations by employing the acceptable similarity transformations. Runge-Kutta and Newton’s methods are More >

Habib-Olah Sayehvand^a , Shirley Abelman^b,*, Amir Basiri Parsa^a

Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-9, 2017, DOI:10.5098/hmt.9.30

Abstract Magnetohydrodynamic (MHD) nanofluid flow considered to be steady, incompressible and electrically conducting, flows through permeable plates in the presence of convective heating, models as a system of nonlinear partial differential equations which are solved analytically by the Differential Transform Method (DTM). Copper, aluminum oxide and titanium dioxide nanoparticles are considered with Carboxyl Methyl Cellulose (CMC)– water as the base fluid. Variation of the effects of pertinent parameters on fluid velocity and temperature is analyzed parametrically. Verification between analytical (DTM) and numerical (fourth-order Runge-Kutta scheme) results and previous published research is shown to be quite agreeable. More >

P.V. Satya Narayana^1,* , Nainaru Tarakaramu¹ , S. Moliya Akshit² , Jatin P. Ghori²

Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-5, 2017, DOI:10.5098/hmt.9.9

Abstract The present work is devoted to study the numerical simulation of steady magnetohydrodynamic flow and heat transfer of an Eyring-Powell fluid over a stretching sheet with viscous dissipation. The fluid is taken to be two dimensional electrically conducting and the flow is induced by a stretching surface. The basic governing partial differential equations of non-Newtonian fluid are reduced into the coupled nonlinear ordinary differential equations by using similarity transformations. The resulting ordinary differential equations are then solved numerically using shooting method with fourth order Runge- Kutta scheme. The effects of Hartmann number, Eckert number, Grashoff More >

Stanford Shateyi

Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-6, 2017, DOI:10.5098/hmt.9.7

Abstract The spectral relaxation method is employed to examine natural convective heat and mass transfer, MHD flow over a permeable moving vertical plate with convective boundary conditions in the presence of viscous dissipation, thermal radiation and chemical reaction. The governing partial differential equations were transformed into a system of nonlinear ordinary differential equations by using a similarity approach. The resultant dimensionless ordinary equations were numerically solved by employing an effective Relaxation spectral algorithm with Chebyshev scheme. The pertinent results are then displayed in tabular form and graphically More >

M. Umeshaiah¹ , M. R. Krishnamurthy² , N.G. Rudraswamy³ , B. J. Gireesha⁴, B.C. Prasannakumara^5,*

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, More >

G. Nagaraju^a,† , Anjanna Matta^b, K. Kaladhar^c

Frontiers in Heat and Mass Transfer, Vol.7, pp. 1-5, 2016, DOI:10.5098/hmt.7.11

Abstract A theoretical steady of two-dimensional and MHD couple stress fluid flow over a linearly stretching sheet is investigated with the effects of thermal radiation, internal heat generation and homogeneous chemical reaction of first order. The governing equations of continuity, momentum, energy and diffusion for this boundary layer flow are transformed into one set of coupled non-linear ordinary differential equations using the local similarity transformation and are then solved using the fourth-order Runge-Kutta method along with the shooting technique. The effects of the couple stress parameter (S), Magnetic parameter (M) and chemical reaction parameter (Cr) are presented through More >