Heat and Mass Transfer on MHD Viscoelastic Fluid Flow in the Presence of Thermal Diffusion and Chemical Reaction

Abstract

The paper carries out an analysis on the momentum, heat and mass transfer characteristics in an incompressible magnetohydrodynamic non-Newtonian boundary flow of a viscoelastic fluid over a stretching sheet in the presence of thermal diffusion and chemical reaction. The partial differential equations governing the flow as well as heat and mass transfer features are converted into highly non-linear coupled ordinary differential equations by similarity transformations. The resulting differential equations are solved by using a shooting technique with fifth-order Runge-Kutta-Fehlberg integration scheme. The influence of magnetic interaction, variable thermal conductivity, viscoelastic, variable fluid viscosity, heat source/sink rate of chemical reaction, themal radiation and thermal diffusion parameters as well as Prandtl and Schmidt numbers are analyzed for velocity, temperature and concentration profiles. The wall shear stress, wall temperature and concentration gradients are also investigated for the problem. The fluid viscosity varies as an inverse function of velocity while the thermal conductivity assumes a linear and an inverse function of temperature and concentration respectively. The study shows that the thermal diffusion and thermal radiation parameters have opposite effects on the skin friction coefficient and wall concentration gradient. However, the rate of chemical reaction has similar influence on the skin friction coefficient and wall temperature gradient.

A New Viscoelastic Mechanics Model for the Creep Behaviour of Fibre Reinforced Asphalt Concrete

“…The curve of the whole creep process of FRAC beam bending in Fig. 1 shows that the creep deformation in loading is similar to that of AC and it also includes three stages [1,3]: (1) The stage of deceleration creep during the beginning of loading (migration period). Polyester fiber reinforced asphalt concrete (PFRAC) beam produces instantaneous elastic deformation under creep loading in this period, and the span deflection increases with time, while the creep rate gradually decreases with time.…”

“…It can be seen that the present model can calculate the rheological time efficiently and accurately, and the relative error is less than 10% between the values calculated by the present model and results from the tests. The rheological time is the start time of the destruction of AC under creep loads [1], the larger the value is, the longer the time taken to deform the test piece is and the stronger the ability to resist deformation of AC is. The test results show that, when the fiber volume fraction is 0.35% and the aspect ratio is 324, the rheological time of FRAC is the largest and FRAC has the best resistance to deformation.…”

“…t normal temperature around 15°C, asphalt concrete (AC) and fiber reinforced asphalt concrete (FRAC) are typical viscoelastic materials. The various viscoelastic mechanics models can be formed by combining the basic A viscoelastic mechanics elements such as spring and dampers [1][2][3][4]. Generally, the model parameters can be obtained by uniaxial compression creep test, triaxial compression creep test and beam bending creep test [5][6][7][8][9][10][11].…”

Influence of Dufour and thermal radiation on unsteady MHD Walter’s liquid model-B flow past an impulsively started infinite vertical plate embedded in a porous medium with chemical reaction, Hall and ion slip current

“…In this investigation, transformed equations are solved using R-K fourth order along with shooting technique. Viscoelastic fluid model on unsteady MHD flow with thermal diffusion in the presence of chemical reaction has been presented by Amos et al [6]. Anghel et al [7] and Beg et al [8] discussed an impact of Dufour and Soret on MHD heat and mass transfer of mixed convective fluid flow over a perpendicular porous surface.…”

A theoretical study of heat and mass transfer in forced convective chemically reacting radiating MHD flow through saturated porous medium over fixed horizontal channel

“…Niche et al [19] investigated the doufour and soret effects in unsteady double diffusive natural convection. Chemically reacting MHD visco-elastic fluid flow with thermal diffusion was studied by popoola et al [20]. MHD flow through rotating channel with mass transfer was explored by Ahmed et al [21].…”