P. Pai Nityanand, B. Devaki, G. Bhat Pareekshith, V. S. Sampath Kumar^*

Frontiers in Heat and Mass Transfer, Vol.22, No.2, pp. 655-673, 2024, DOI:10.32604/fhmt.2024.050237 - 20 May 2024

Abstract The study in this manuscript aims to analyse the impact of thermal radiation on the two-dimensional magnetohydrodynamic flow of upper convected Maxwell (UCM) fluid between parallel plates. The lower plate is porous and stationary, while the top plate is impermeable and moving. The equations that describe the flow are transformed into non-linear ordinary differential equations with boundary conditions by employing similarity transformations. The Homotopy Perturbation Method (HPM) is then employed to approach the obtained non-linear ordinary differential equations and get an approximate analytical solution. The analysis includes plotting the velocity profile for different Reynolds number… More >

Tahir Naseem^1,2,*, Iqra Bibi¹, Azeem Shahzad², Mohammad Munir³

FDMP-Fluid Dynamics & Materials Processing, Vol.19, No.3, pp. 663-677, 2023, DOI:10.32604/fdmp.2022.021136 - 29 September 2022

Abstract Heat transfer in an Eyring-Powell fluid that conducts electricity and flows past an exponentially growing sheet is considered. As the sheet is stretched in the x direction, the flow develops in the region with y > 0. The problem is tackled through a set of partial differential equations accounting for Magnetohydrodynamics (MHD), radiation and Joule heating effects, which are converted into a set of equivalent ordinary differential equations through a similarity transformation. The converted problem is solved in MATLAB in the framework a fourth order accurate integration scheme. It is found that the thermal relaxation period More >

M. Bilal¹, Imran Khan¹, Taza Gul^1,*, Asifa Tassaddiq², Wajdi Alghamdi³, Safyan Mukhtar⁴, Poom Kumam⁵

CMC-Computers, Materials & Continua, Vol.66, No.2, pp. 2025-2039, 2021, DOI:10.32604/cmc.2020.012677 - 26 November 2020

Abstract This article aims to investigate the Darcy Forchhemier mixed convection flow of the hybrid nanofluid through an inclined extending cylinder. Two different nanoparticles such as carbon nanotubes (CNTs) and iron oxide Fe₃O₄ have been added to the base fluid in order to prepare a hybrid nanofluid. Nonlinear partial differential equations for momentum, energy and convective diffusion have been changed into dimensionless ordinary differential equations after using Von Karman approach. Homotopy analysis method (HAM), a powerful analytical approach has been used to find the solution to the given problem. The effects of the physical constraints on velocity, More >

Muhammad Shuaib¹, Muhammad Bilal¹, Muhammad Altaf Khan^{2, *}, Sharaf J. Malebary³

CMES-Computer Modeling in Engineering & Sciences, Vol.123, No.1, pp. 377-400, 2020, DOI:10.32604/cmes.2020.08076 - 01 April 2020

Abstract An unsteady viscous fluid flow with Dufour and Soret effect, which results in heat and mass transfer due to upward and downward motion of flexible rotating disk, has been studied. The upward or downward motion of non rotating disk results in two dimensional flow, while the vertical action and rotation of the disk results in three dimensional flow. By using an appropriate transformation the governing equations are transformed into the system of ordinary differential equations. The system of ordinary differential equations is further converted into first order differential equation by selecting suitable variables. Then, we More >

Vandana Bisht^*

Frontiers in Heat and Mass Transfer, Vol.7, pp. 1-7, 2016, DOI:10.5098/hmt.7.19

Abstract In this paper the steady laminar magneto hydrodynamic (MHD) mixed convection boundary layer flow towards a vertical stretching sheet with variable fluid viscosity, radiation and in the presence of Dufour’s effect have been investigated. The governing partial differential equations are transformed into set of ordinary differential equations using similarity transformation, and then these equations have been solved numerically using Runge- Kutta method with shooting technique. Results shows that magnitude of skin friction coefficient decreases, while magnitude of heat transfer coefficient and mass transfer coefficient increases with decreasing values of viscosity variation parameter for the case More >