Odelu Ojjela^*, K. Pravin Kashyap, N. Naresh Kuma, Samir Kumar Das

Frontiers in Heat and Mass Transfer, Vol.7, pp. 1-9, 2016, DOI:10.5098/hmt.7.32

Abstract This article presents an unsteady incompressible Upper Convected Maxwell (UCM) fluid flow with temperature dependent thermal conductivity between parallel porous plates which are maintained at different temperatures varying periodically with time. Assume that there is a periodic suction and injection at the upper and lower plates respectively. The governing partial differential equations are reduced to non linear ordinary differential equations by using similarity transformations and the solution is obtained using differential transform method. The effects of various fluid and geometric parameters on the velocity components, temperature distribution and skin friction are discussed in detail through graphs. More >

Wubshet Ibrahim^∗

Frontiers in Heat and Mass Transfer, Vol.7, pp. 1-10, 2016, DOI:10.5098/hmt.7.4

Abstract The study scrutinizes the effect of convective heating on magnetohydrodynamic (MHD) stagnation point flow and heat transfer of upper-convected Maxell fluid p ast a s tretching s heet i n t he p resence o f n anoparticles. T he m odel u sed i n t he s tudy i ncludes t he e ffect o f B rownian m otion and thermophoresis parameters. The non-linear governing equations and their boundary conditions are initially cast into dimensionless forms by similarity transformation. The resulting system of equations is then solved numerically using fourth order Runge-Kutta method along with shooting technique.… More >

S. M. Arifuzzaman^a , M. S. Khan^b,*, M. S. Islam^c , M. M. Islam^c , B. M. J. Rana^a , P. Biswas^a, S. F. Ahmmed^a

Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-14, 2017, DOI:10.5098/hmt.9.25

Abstract Present study concerns with the numerical investigation of MHD transient naturally convective and higher order chemically reactive Maxwell fluid with Nano-particle flow through a vertical porous plate with the effects of heat generation and radiation absorption. A boundary layer approximation is carried out to develop a flow model representing time dependent momentum, energy, and concentration equations. The governing model equations in partial differential equations (PDEs) form are transformed into a set of nonlinear ordinary differential equation (ODEs) by using non-similar technique. Explicit Finite Difference Method (EFDM) is employed by implementing an algorithm in Compaq Visual Fortran 6.6a to solve the… More >

B. Venkateswarlu^a, P.V. Satya Narayana^b,*

Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-10, 2017, DOI:10.5098/hmt.9.11

Abstract An analysis has been carried out to study the mixed convection flow, heat and mass transfer of an incompressible electrically conducting Maxwell fluid past a vertical stretching sheet in the presence of chemical reaction with thermal diffusion (Soret) and diffusion-thermo (Dufour) effects. The governing nonlinear partial differential equations along with the appropriate boundary conditions are non-dimensionalized using suitable similarity variables. The resulting transformed ordinary differential equations are then solved numerically by shooting technique with fourth order Runge - Kutta method. The influence of various physical parameters on the flow, heat and mass transfer characteristics are discussed through graphs and tables.… 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 >

Muhammad Ramzan^a,*, Zaib Un Nisa^b , Mudassar Nazar^a,c,†

Frontiers in Heat and Mass Transfer, Vol.19, pp. 1-9, 2022, DOI:10.5098/hmt.19.12

Abstract A magnetohydrodynamics (MHD) flow of fractional Maxwell fluid past an exponentially accelerated vertical plate is considered. In addition, other factors such as heat generation and chemical reaction are used in the problem. The flow model is solved using Caputo fractional derivative. Initially, the governing equations are made non-dimensional and then solved by Laplace transform. The influence of different parameters like diffusion thermo, fractional parameter, Magnetic field, chemical reaction, Prandtl number and Maxwell parameter are discussed through numerous graphs. From figures, it is observed that fluid motion decreases with increasing values of Schmidt number and chemical reaction, whereas velocity field decreases… More >

Muhammad Shoaib Arif^1,2,*, Muhammad Jhangir², Yasir Nawaz², Imran Abbas², Kamaleldin Abodayeh¹, Asad Ejaz²

CMES-Computer Modeling in Engineering & Sciences, Vol.133, No.2, pp. 303-325, 2022, DOI:10.32604/cmes.2022.020979

Abstract The numerous applications of Maxwell Nanofluid Stagnation Point Flow, such as those in production industries, the processing of polymers, compression, power generation, lubrication systems, food manufacturing and air conditioning, among other applications, require further research into the effects of various parameters on flow phenomena. In this paper, a study has been carried out for the heat and mass transfer of Maxwell nanofluid flow over the heated stretching sheet. A mathematical model with constitutive expressions is constructed in partial differential equations (PDEs) through obligatory basic conservation laws. A series of transformations are then used to take the system into an ordinary… More >

Hanan S. Gafel^*

CMC-Computers, Materials & Continua, Vol.72, No.3, pp. 6141-6153, 2022, DOI:10.32604/cmc.2022.017378

Abstract Magnetic field and the fractional Maxwell fluids’ impacts on peristaltic flows within a circular cylinder tube with heat transfer was evaluated while assuming that they are preset with a low-Reynolds number and a long wavelength. Utilizing, the fractional calculus method, the problem was solved analytically. It was deduced for temperature, axial velocity, tangential stress, and heat transfer coefficient. Many emerging parameters and their effects on the aspects of the flow were illustrated, and the outcomes were expressed via graphs. A special focus was dedicated to some criteria, such as the wave amplitude's effect, Hartman and Grashof numbers, radius and relaxation–retardation… More >

Thabet Abdeljawad^1,2,3, Muhammad Bilal Riaz^4,5, Syed Tauseef Saeed^6,*, Nazish Iftikhar⁶

CMES-Computer Modeling in Engineering & Sciences, Vol.126, No.2, pp. 821-841, 2021, DOI:10.32604/cmes.2021.012529

Abstract The main focus of this study is to investigate the impact of heat generation/absorption with ramp velocity and ramp temperature on magnetohydrodynamic (MHD) time-dependent Maxwell fluid over an unbounded plate embedded in a permeable medium. Non-dimensional parameters along with Laplace transformation and inversion algorithms are used to find the solution of shear stress, energy, and velocity profile. Recently, new fractional differential operators are used to define ramped temperature and ramped velocity. The obtained analytical solutions are plotted for different values of emerging parameters. Fractional time derivatives are used to analyze the impact of fractional parameters (memory effect) on the dynamics… More >

Muhammad Saqib¹, Hanifa Hanif^{1, 2}, T. Abdeljawad^{3, 4, 5}, Ilyas Khan^{6, *}, Sharidan Shafie¹, Kottakkaran Sooppy Nisar⁷

CMC-Computers, Materials & Continua, Vol.65, No.3, pp. 1959-1973, 2020, DOI:10.32604/cmc.2020.011339

Abstract The idea of fractional derivatives is applied to several problems of viscoelastic fluid. However, most of these problems (fluid problems), were studied analytically using different integral transform techniques, as most of these problems are linear. The idea of the above fractional derivatives is rarely applied to fluid problems governed by nonlinear partial differential equations. Most importantly, in the nonlinear problems, either the fractional models are developed by artificial replacement of the classical derivatives with fractional derivatives or simple classical problems (without developing the fractional model even using artificial replacement) are solved. These problems were mostly solved for steady-state fluid problems.… More >