Applications of Gegenbauer polynomial collocation method on the aspects of interfacial layer thickness and thermal conductivity of solid-liquid layer in time-dependent nanofluid flow induced by squeezing porous slider
R. Naveen Kumar, K. Thanesh Kumar, Raman Kumar, R. Naveen Kumar, R. Naveen Kumar
Abstract
The investigation of nanofluid flow across a squeezing porous slider incorporating the Catteneo Christov heat flux, nanoparticle diameter and non-linear radiation is highly significant due to its relevance in modern engineering and industrial processes where enhanced heat transfer and flow control are critical. In view of this, the present research examines the three-dimensional nanofluid stream across a squeezing permeable slider with the significance of a magnetic field and nanoparticle diameter. Additionally, Catteneo Christov heat flux and non-linear radiation play a crucial role in comprehending the heat transport dynamics. By employing suitable similarity variables, the governing partial differential equations are converted into ordinary differential equations . The resulting equations are solved by employing the Gegenbauer polynomial collocation method (GPCM). The consequences of various parameters on velocity and thermal profiles are presented using tables and graphical representations. The outcomes reveal that the upsurge in the magnetic and wall-dilation parameters drops the velocity profile . For the radiation parameter, the heat transport rate is enhanced by approximately 13.32 % and for the thermal relaxation time parameter, it is approximately 16.51 %. Furthermore, the thermal profile diminishes with the higher values of the thermal relaxation parameter and the reverse trend is seen with the radiation parameter.