Astick Banerjee^a , Aurang Zaib^b , Krishnendu Bhattacharyya^c,* , S.K. Mahato^d

Frontiers in Heat and Mass Transfer, Vol.10, pp. 1-8, 2018, DOI:10.5098/hmt.10.30

Abstract The magnetohydrodynamic (MHD) mixed convection heat transfer in a non-Newtonian Powell-Erying fluid flow due to an exponentially shrinking porous sheet is investigated. Both assisting and opposing flows are considered. After use of the suitable transformations, the governing equations become non-similar ODEs. Numerical computations of resulting equations are obtained by very efficient shooting method for several values of involved parameters. The results exhibit that dual non-similar solutions can be found only when some amount of fluid mass is sucked from the flow field through the porous sheet. Many important results on the effect of external magnetic field on mixed convective flow… More >

Jadav Konch^*

Frontiers in Heat and Mass Transfer, Vol.10, pp. 1-10, 2018, DOI:10.5098/hmt.10.29

Abstract Soret and Dufour effects on the unsteady flow of a viscous incompressible dusty fluid past an exponentially accelerated vertical plate with viscous dissipation have been considered in the presence of heat source and magnetic field. The viscosity and thermal conductivity of the fluid are assumed to be varying with respect to temperature. Saffman model of dusty fluid is considered for the investigation. The non-linear partial differential equations with prescribed boundary conditions governing the flow are discretized using Crank-Nicolson formula and the resulting finite difference equations are solved by an iterative scheme based on the Gauss-Seidel method by developing computer codes… More >

E. Kumaresan^a , A .G. Vijaya Kumar^a,*, J. Prakash^b

Frontiers in Heat and Mass Transfer, Vol.10, pp. 1-9, 2018, DOI:10.5098/hmt.10.2

Abstract The objective of this study is to investigate diffusion-thermo and radiation effects on unsteady free convection chemically reacting fluid flow past an accelerated infinite plate with variable temperature and mass diffusion under the influence of uniform transverse magnetic field when the magnetic lines of force are fixed relative to the fluid or to the plate. . Two important cases, when the magnetic lines of force are being fixed relative to the fluid (K=0) or to the moving plate (K=1) have been considered. A general exact solution of the dimensionless governing partial differential equations is obtained by Laplace transform technique without… More >

K.V. Prasad^a, Hanumesh Vaidya^a,*, O. D. Makinde^b , K. Vajravelu^c , A. Wakif^d , Hussain Basha^a

Frontiers in Heat and Mass Transfer, Vol.14, pp. 1-12, 2020, DOI:10.5098/hmt.14.11

Abstract This article explores the three-dimensional (3D) rotating flow of Upper Convected Maxwell (UCM) nanoliquid over an exponentially stretching sheet with a convective boundary condition and zero mass flux for the nanoparticles concentration. The impacts of velocity slip and hall current are being considered. The suitable similarity transformations are employed to reduce the governing partial differential equations into ordinary ones. These systems of equations are highly non-linear, coupled and in turn solved by an efficient semi-analytical scheme known as optimal homotopy analysis method (OHAM). The effects of various physical constraints on velocity, temperature, and concentration fields are analyzed graphically and discussed… More >

G. R. Ganesh, W. Sridhar^*

Frontiers in Heat and Mass Transfer, Vol.16, pp. 1-11, 2021, DOI:10.5098/hmt.16.5

Abstract In this paper, heat and mass transfer of MHD Casson fluid under radiation over an exponentially permeable stretching sheet with chemical reaction and Hall Effect investigated numerically. Suitable similarity transformations are used to convert the governing partial differential equations to nonlinear ordinary differential equations. Using a numerical technique named Keller box method the equations are then solved. Study of various effects such as chemical reaction, hall effect, suction /injection on magneto hydrodynamic Casson fluid along with radiation the heat source parameter, chemical reaction parameter, Schmidt number are tabulated for various parameters. Also local parameters are calculated and compared with previous… More >

N.Vijaya^a,* , P. Krishna Jyothi^b, A. Anupama^c, R. Leelavathi^d, K. Ambica^e

Frontiers in Heat and Mass Transfer, Vol.17, pp. 1-8, 2021, DOI:10.5098/hmt.17.23

Abstract The main intention of this study is to explore Maxwell fluid under the influence of thermophoresis and buoyancy forces induced by exponentially stretching sheet under chemical reaction. Cattaneo –Christov heat flux model is used to explore heat and mass characteristics with variable magnetic field, and chemical reaction. Variables of similarity were induced to transmute partial differential equations into dimensionless equations and are resolved numerically by elegant method bvp 4c. Behavior of various critical parameters on velocity, temperature and concentrations is graphically presented and discussed. Non Newtonian nature of the Maxwell fluid is clearly explored by the Maxwell parameter, it was… More >

Mohammad Aslefallah¹, Şuayip Yüzbaşi², Saeid Abbasbandy^1,*

CMES-Computer Modeling in Engineering & Sciences, Vol.136, No.2, pp. 1687-1706, 2023, DOI:10.32604/cmes.2023.025647

Abstract In this work, the exponential approximation is used for the numerical simulation of a nonlinear SITR model as a system of differential equations that shows the dynamics of the new coronavirus (COVID-19). The SITR mathematical model is divided into four classes using fractal parameters for COVID-19 dynamics, namely, susceptible (S), infected (I), treatment (T), and recovered (R). The main idea of the presented method is based on the matrix representations of the exponential functions and their derivatives using collocation points. To indicate the usefulness of this method, we employ it in some cases. For error analysis of the method, the… More > Graphic Abstract

Hongzhi Liu¹, Shasha Wu¹, Yongjun Zhang^2,*, Tongxu Hu²

FDMP-Fluid Dynamics & Materials Processing, Vol.19, No.6, pp. 1551-1572, 2023, DOI:10.32604/fdmp.2023.024430

Abstract The internal temperature of cast-in-place concrete bridges undergoes strong variations during the construction as a result of environmental factors. In order to determine precisely such variations, the present study relies on the finite element method, used to model the bridge box girder section and simulate the internal temperature distribution during construction. The numerical results display good agreement with measured temperature values. It is shown that when the external temperature is higher, and the internal and external temperature difference is relatively small, the deviation of the fitting line from existing specifications (Chinese specification, American specification, New Zealand specification) is relatively large… More >

Kamran¹, Siraj Ahmad¹, Kamal Shah^2,3,*, Thabet Abdeljawad^2,4,*, Bahaaeldin Abdalla²

CMES-Computer Modeling in Engineering & Sciences, Vol.135, No.3, pp. 2743-2765, 2023, DOI:10.32604/cmes.2023.023705

Abstract Laplace transform is one of the powerful tools for solving differential equations in engineering and other science subjects. Using the Laplace transform for solving differential equations, however, sometimes leads to solutions in the Laplace domain that are not readily invertible to the real domain by analytical means. Thus, we need numerical inversion methods to convert the obtained solution from Laplace domain to a real domain. In this paper, we propose a numerical scheme based on Laplace transform and numerical inverse Laplace transform for the approximate solution of fractal-fractional differential equations with order . Our proposed numerical scheme is based on… More > Graphic Abstract

Kerati Suwanpakpraek^1,3, Baramee Patamaprohm^1,3, Sacharuck Pornpeerakeat^2,3, Arisara Chaikittiratana^1,3,*

CMES-Computer Modeling in Engineering & Sciences, Vol.135, No.3, pp. 1765-1778, 2023, DOI:10.32604/cmes.2023.022523

Abstract

This paper deals with the numerical implementation of the exponential Drucker-Parger plasticity model in the commercial finite element software, ABAQUS, via user subroutine UMAT for adhesive joint simulations. The influence of hydrostatic pressure on adhesive strength was investigated by a modified Arcan fixture designed particularly to induce a different state of hydrostatic pressure within an adhesive layer. The developed user subroutine UMAT, which utilizes an associated plastic flow during a plastic deformation, can provide a good agreement between the simulations and the experimental data. Better numerical stability at highly positive hydrostatic pressure loads for a very high order of exponential… More > Graphic Abstract