Artificial Intelligent Systems and Machine Learning

Sundarammal Kesavan ¹, N. Manimegalai ¹

Affiliations
1 Department of Mathematics, SRM University, Kattankulathur-603203, Chennai, IN

Abstract

The surface roughness effects on the hydrodynamic lubrication of squeeze film between infinitely long parallel plates are analyzed. The modified Reynolds equation which incorporates randomized roughness structure with Stoke’s couple stress fluid is solved with suitable boundary conditions to get the pressure distribution, which is then used to obtain the load carrying capacity.The results are presented graphically as well as in tabular form. It is observed that the effect of surface roughness on the bearing characteristics are more pronounced for couple stress fluids as compared to the Newtonian fluids. The observations show that the bearing system registers a slightly enhanced performance for higher values of couple stress parameter. Also the present study indicates that there is a negative influence in the bearing characteristic due to mean stochastic film thickness and standard deviation of film thickness.

Keywords

Couple-Stress Fluid, Porous Rectangular Plates, Squeeze Film, Surface Roughness.

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M. Vidhya ¹, Sundarammal Kesavan ², A. Govindarajan ²

Affiliations
1 Mathematics Department, Sathyabama University, IN
2 Mathematics Department, SRM University, IN

Abstract

The three dimensional convection flow of a viscous incompressible fluid through a long vertical channel embedded in a porous medium with heat source and whose one side is made of a porous plate while the other is impermeable plate is discussed. The fluid is injected with a uniform velocity. A set of non linear ordinary differential equations results and solved analytically. The effects of injection and permeability parameters on flow variables with heat source have been presented graphically. It is found that the axial velocity profiles increases with an increase in permeability of the porous medium. Skin friction components for both normal and axial velocity profiles increases when there is an increase in Reynolds number. For lower injection rate and permeability, it is reversed. It is also noted that the heat transfer increases with an increase in Reynolds number Re for both air and water.

Keywords

Axial Velocity, Heat Transfer, Heat Source, Injection, Normal Velocity, Nusselt Number, Permeability, Porous Medium, Skin Friction, Transpiration Cooling.

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M. Vidhya ¹, Sundarammal Kesavan ², A. Govindarajan ²

Affiliations
1 Mathematics Department, Sathyabama University, IN
2 Mathematics Department, SRM University, IN

Abstract

A theoretical analysis of a couette flow of a viscous incompressible fluid through a porous medium between two infinite horizontal parallel porous flat plate with mass transfer is presented.  The stationary plate and the plate in uniform motion are subjected to transverse sinusoidal injection and uniform suction of the fluid.  The flow becomes three dimensional due to this type of injection velocity distribution.  The non linear partial differential equations are solved by using regular perturbation method and the expressions for the velocity and temperature fields are obtained. The effect of Schmidt number and modified Grashoff number on the velocity and temperature distribution are discussed numerically and shown through graphs.  The numerical values of Skin friction Coefficient and Nusselt number at the plate are derived and their numerical values are presented through graph.  It is found that the velocity profile increase with the increase of injection/suction parameter Re (or) an increase in Grashoff number for mass transfer (or) an increase in Schmidt number.

Keywords

Couette Flow, Diffusing Species, Injection/Suction, Mass Transfer, Permeability, Porous Medium, Three-Dimensional, Transverse Sinusoidal.

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