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Multiple Slip Conditions on MHD Carreau Dusty Fluidover Sheet with Cattaneo-Christov Heat Flux and Thermal Radiation

Mamatha Sadandha Upadhay, Mahesha, Chakravarthula Siva Krishnam Raju, Shaik Mohammed Ibrahim, Giulio Lorenzini

Essence of the present study is to investigate the combined impact of thermal conductivity and non-Fourier heat flux model of the steady boundary layer flow of a Carreau Dusty Fluid past a stretching sheet in the presence of slip conditions. Similarity transformations are considered to transform the governing non-linear partial differential equations into nonlinear ordinary differential equations. The transformed ODEs are solved numerically by employing Runge-Kutta Fehlberg Scheme (RKFS). To interpret the influence of flow parameters on the fluid velocity, temperature and concentration profiles graphs and tables were developed and the results are discussed. The present results are validated by comparing with the published results and noticed favorable agreement. Our result implies that the rate of heat transfer significantly increases with the enhancement of thermal radiation parameters and an opposite influence is observed due to the thermal relaxation time in case of both fluid and dust phase. When we incorporate dust particles in the flow, dust particle opposes the flow, hence the momentum, thermal and concentration profiles are decreasing in dust phase. Thus we conclude that dust particles are helpful in cooling applications.

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