Mathematical Modeling of Microfluidic Nanofluidic and Fluid Flows using Tribology

Abstract

The main aim of the thesis is to study the MATHEMATICAL MODELING newlineOF MICROFLUIDIC, NANOFLUIDIC AND FLUID FLOWS USING newlineTRIBOLOGY The Problem discussed in thesis is as follows: newline To develope mathematical models for fluid flows using tribology; to newlineanalyze the effect of load carrying capacity with centre of pressure on different newlinetype of bearings. To develope mathematical models of microfluidic and newlinenanofluidic to analyze the thermal conductivity and magnetic field effect of newlinedifferent nanofluids on blood flow and applications in different fields of newlineengineering, environment, medicine, industries etc. To develop the mathematical newlinemodel for single wall carbon nanotube to analyze the time behavior for nonlinear newlinepredictions . newlineThe impact of surface roughness on porous pivoted slider bearing lubricated newlinewith couple stress fluid flow and magnetic fluid flow is studied. Mathematical model is newlinedeveloped to study the effect of surface roughness on porous pivoted slider bearing newlinelubricated with couple stress fluid flow using Darcy law and boundary conditions. The newlinegeneralized Reynolds equation is obtained for the load carrying capacity of porous newlinepivoted slider bearing. The load carrying capacity for surface roughness parameter is newlinemodeled for couple stress fluid flow of porous pivoted slider bearing. Results are newlinenumerically simulated to obtain the value of load capacity for permability parameter, newlinecouple stress parameter and surface roughness parameters at different values of inlet newlineoutlet ratio, pad curvature, mean, standard deviation and measure of symmetry of newlineii newlinerandom variable. It is observed that load capacity decreases with increases in newlinepermeability parameters for different values of couple stress and surface roughness newlineparameters. Then using Reynolds equation for couple stress fluid flow the expression newlinefor centre of pressure is calculated. The behaviour of centre of pressure at different newlinevalues of couple stress parameter, surface roughness parameter is studied using newlinenumerical methods.It is observed that centre of pressure shows ...