Abstract
The two-dimensional hydromagnetic free convective flow of elastico-viscous fluid (Walters liquid ModelB′) with simultaneous heat and mass transfer past an infinite vertical porous plate under the influence of gravity modulation effects has been analysed. Generalized Navier’s boundary condition has been used to study the characteristics of slip flow regime. Fluctuating characteristics of temperature and concentration are considered in the neighbourhood of the surface having periodic suction. The governing equations of fluid motion are solved analytically by using perturbation technique. Various fluid flow characteristics (velocity profile, viscous drag, etc.) are analyzed graphically for various values of flow parameters involved in the solution. A special emphasis is given on the gravity modulation effects on both Newtonian and non-Newtonian fluids.
Highlights
The analysis of viscoelastic fluid flow is one of the important fields of fluid dynamics
The complex stress-strain relationships of viscoelastic fluid flow mechanisms are used in geophysics, chemical engineering, petroleum engineering, hydrology, soil-physics, biophysics, and paper and pulp technology
The viscosity of the viscoelastic fluid signifies the physics of the energy dissipated during the flow and its elasticity represents the energy stored during the flow
Summary
The analysis of viscoelastic fluid flow is one of the important fields of fluid dynamics. Rajvanshi and Saini [12] have studied the free convection MHD flow past a moving vertical porous surface with gravity modulation at constant heat flux. The influence of combined heat and mass transfer and gravity modulation on unsteady flow past a porous vertical plate in slip flow regime has been examined by Jain and Rajvanshi [13]. An analysis is carried out to study the effects of gravity modulation on free convection unsteady flow of a viscoelastic fluid past a vertical permeable plate with slip flow regime under the action of transverse magnetic field. The velocity field and magnitude of shearing stress at the plate are obtained and illustrated graphically to observe the viscoelastic effects in combination with other flow parameters. Walter [14] reported that the mixture of polymethyl methacrylate and pyridine at 25∘C containing 30.5 gm of polymer per litre and having density 0.98 gm/mL fits very nearly to this model
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