Rajiva Lochan Mohanty, Sumanta Chaudhuri^*, Anish Pandey

Frontiers in Heat and Mass Transfer, Vol.23, No.3, pp. 899-919, 2025, DOI:10.32604/fhmt.2025.064444 - 30 June 2025

Abstract Characteristics of heat transfer and flow of Newtonian and non-Newtonian fluids through porous walls and in porous media are studied due to their wide range of applications including geothermal reservoirs, heat exchangers, marine propulsion, and aerodynamics. The current study investigates the characteristics of heat transport in a reactive third-grade fluid, moving through permeable parallel plates, with uniform suction/injection velocity. The two permeable, parallel plates are maintained at the same, constant temperature. After being transformed into its dimensionless equivalent, governing equations are solved by employing the Least Squares Method (LSM). The LSM results are further validated… More >

Tahir Naseem¹, Fateh Mebarek-Oudina^2,3,*, Hanumesh Vaidya⁴, Nagina Bibi⁵, Katta Ramesh^6,7, Sami Ullah Khan⁸

CMES-Computer Modeling in Engineering & Sciences, Vol.143, No.1, pp. 351-371, 2025, DOI:10.32604/cmes.2025.063196 - 11 April 2025

Abstract Maximizing the efficiency of thermal engineering equipment involves minimizing entropy generation, which arises from irreversible processes. This study examines thermal transport and entropy generation in viscous flow over a radially stretching disk, incorporating the effects of magnetohydrodynamics (MHD), viscous dissipation, Joule heating, and radiation. Similarity transformations are used to obtain dimensionless nonlinear ordinary differential equations (ODEs) from the governing coupled partial differential equations (PDEs). The converted equations are then solved by using the BVP4C solver in MATLAB. To validate the findings, the results are compared with previously published studies under fixed parameter conditions, demonstrating strong… More >

Pudhari Srilatha¹, Ahmed M. Hassan², B. Shankar Goud^3,*, E. Ranjit Kumar⁴

Frontiers in Heat and Mass Transfer, Vol.21, pp. 539-562, 2023, DOI:10.32604/fhmt.2023.043023 - 30 November 2023

Abstract The purpose of this research is to investigate the influence that slip boundary conditions have on the rate of heat and mass transfer by examining the behavior of micropolar MHD flow across a porous stretching sheet. In addition to this, the impacts of thermal radiation and viscous dissipation are taken into account. With the use of various computing strategies, numerical results have been produced. Similarity transformation was utilized in order to convert the partial differential equations (PDEs) that regulated energy, rotational momentum, concentration, and momentum into ordinary differential equations (ODEs). As compared to earlier published… More > Graphic Abstract

Hammad Alotaibi^1,*, Saeed Althubiti¹, Mohamed R. Eid^2,3, K. L. Mahny⁴

CMC-Computers, Materials & Continua, Vol.66, No.1, pp. 229-245, 2021, DOI:10.32604/cmc.2020.012234 - 30 October 2020

Abstract This paper introduces the effect of heat absorption (generation) and suction (injection) on magnetohydrodynamic (MHD) boundary-layer flow of Casson nanofluid (CNF) via a non-linear stretching surface with the viscous dissipation in two dimensions. By utilizing the similarity transformations, the leading PDEs are transformed into a set of ODEs with adequate boundary conditions and then resolved numerically by (4–5)^th-order Runge-Kutta Fehlberg procedure based on the shooting technique. Numerical computations are carried out by Maple 15 software. With the support of graphs, the impact of dimensionless control parameters on the nanoparticle concentration profiles, the temperature, and the flow… More >

M. Ganapathirao^a,∗ , Ali J. Chamkha^b, N. Srinivasa Rao^c

Frontiers in Heat and Mass Transfer, Vol.13, pp. 1-13, 2019, DOI:10.5098/hmt.13.15

Abstract In this investigation, our objective is to study the effect of non-uniform slot suction or injection into a steady mixed convective MHD boundary layer flow over a vertical wedge embedded in a porous medium in the presence of chemical reaction. The wall of the wedge is embedded in a uniform porous medium in order to allow possible fluid wall suction or injection. The surface of the wedge is maintained at a variable wall temperature and concentration. The fluid is assumed to be viscous, incompressible and electrically conducting; and the magnetic field is applied transversally in… More >

G. Nagaraju^a,∗ , Mahesh Garvandha^b, J.V. Ramana Murthy^c

Frontiers in Heat and Mass Transfer, Vol.13, pp. 1-8, 2019, DOI:10.5098/hmt.13.6

Abstract This paper analyzes a hypothesis of the 2−dimensional thermal transport behavior of Newtonian axisymmetric, viscous heating flow in a horizontal pipe. The flow is subjected to an externally applied uniform suction across the pipe wall in the polar direction, a constant magnetic field perpendicular to the wall and a uniform heat source/sink on the surface of the cylinder. The thermal boundary condition is imposed as a uniform heat flux. The Velocity fields are expressed in terms of stream function and the solution is obtained using the homotopy analysis method (HAM). Graphs are designed to analyze More >

M. Sathish Kumar^a , N. Sandeep^a,*, B. Rushi Kumar^a , J. Prakash^b

Frontiers in Heat and Mass Transfer, Vol.8, pp. 1-8, 2017, DOI:10.5098/hmt.8.8

Abstract In this study, a numerical investigation is performed to analyse the flow and heat transfer characteristic of magnetohydrodynamic Casson fluid flow past a semi-infinite stretching surface in the presence of Cattaneo – Christov heat flux and nonlinear thermal radiation. Appropriate transformations are employed to reduce the governing partial differential equations into ordinary differential equations. Further, solutions of the ordinary differential equation are obtained with the aid of Runge- Kutta based shooting technique. The effect of various non- dimensional governing parameters on velocity and temperature fields for suction and injection cases are discussed with the help More >

S.V. Subhashini^a,* , Nancy Samuel^b

Frontiers in Heat and Mass Transfer, Vol.7, pp. 1-7, 2016, DOI:10.5098/hmt.7.29

Abstract The aim of this paper is to present non-similar solutions of a steady laminar compressible boundary layer flow past a long thin circular cylinder including the effects of wall enthalpy and surface mass transfer. The governing equations along with the boundary conditions are first converted into dimensionless form by a non-similar transformation, and then the resulting system of coupled non-linear partial differential equations is solved by an implicit finite difference scheme in combination with the quasi-linearization technique. The increase in the value of power law variation of viscosity causes an increase in the boundary layer More >

D. Srinivasacharya^a,*, A.J. Chamkha^b, O. Surender^a, A.M. Rashad^c,d

Frontiers in Heat and Mass Transfer, Vol.6, pp. 1-7, 2015, DOI:10.5098/hmt.6.19

Abstract The aim of the present article is to analyze the influence of thermal and mass stratification on natural convection heat and mass transfer over a porous vertical plate with uniform and constant wall temperature and concentration in porous medium. The Brinkman-Forchheimer based model is employed to describe the flow in the porous medium. The nonlinear governing equations and their associated boundary conditions are initially cast into dimensionless forms by pseudo-similarity variables. The resulting system of nonlinear, coupled partial differential equations is then solved numerically. The influence of pertinent parameters on the dimensionless velocity, temperature, concentration, More >