Abstract
In this paper, a new approach to investigating the unsteady natural convection flow of viscous fluid over a moveable inclined plate with exponential heating is carried out. The mathematical modeling is based on fractional treatment of the governing equation subject to the temperature, velocity and concentration field. Innovative definitions of time fractional operators with singular and non-singular kernels have been working on the developed constitutive mass, energy and momentum equations. The fractionalized analytical solutions based on special functions are obtained by using Laplace transform method to tackle the non-dimensional partial differential equations for velocity, mass and energy. Our results propose that by increasing the value of the Schimdth number and Prandtl number the concentration and temperature profiles decreased, respectively. The presence of a Prandtl number increases the thermal conductivity and reflects the control of thickness of momentum. The experimental results for flow features are shown in graphs over a limited period of time for various parameters. Furthermore, some special cases for the movement of the plate are also studied and results are demonstrated graphically via Mathcad-15 software.
Highlights
Fluids which are electrically conducted magneto-hydrodynamics (MHD) have wide applications in chemical engineering, modern technology and geophysical environments [1,2], but double diffusive convection is a mixing process due to the interaction of different components of fluid having different density gradients and rates of diffusion [3]
Some other fractional associated studies are discussed in detail; see for instance [25,26]; most of the studies are focused on flow problems with non-integer differential operators, heat transport MHD Jeffrey fluid movement and second grade fluid. The purpose of this exploration is to investigate the general study of double diffusive magneto-free-convection flow for viscous fluid presented in non-dimensional form, and to analyze the general motions of the oscillating inclined plate constituted in a porous material, with the existence of an oblique externally electromagnetic field whether moving or fixed, consistent with the porous layered plate
The general equations of double diffusive magneto-free convection for viscous fluid are presented in non-dimensional form, and are applied to a moving heated vertical plate as in the boundary layer flow up, with the existence of an externally magnetic field which is either moving or fixed consistent with the plate
Summary
Fluids which are electrically conducted magneto-hydrodynamics (MHD) have wide applications in chemical engineering, modern technology and geophysical environments [1,2], but double diffusive convection is a mixing process due to the interaction of different components of fluid having different density gradients and rates of diffusion [3]. Some other fractional associated studies are discussed in detail; see for instance [25,26]; most of the studies are focused on flow problems with non-integer differential operators, heat transport MHD Jeffrey fluid movement and second grade fluid In this communication, the purpose of this exploration is to investigate the general study of double diffusive magneto-free-convection flow for viscous fluid presented in non-dimensional form, and to analyze the general motions of the oscillating inclined plate constituted in a porous material, with the existence of an oblique externally electromagnetic field whether moving or fixed, consistent with the porous layered plate. Some results are recovered from the existing literature as limiting cases to validate our obtained results
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