Unsteady squeezed Casson nanofluid flow by considering the slip condition and time‐dependent magnetic field

Abstract

The present flow problem investigates the incompressible and squeezed flow between two parallel plates. The mathematical formulation includes the constitutive equations of Casson nanofluid, which is treated as a lubricant. Brownian movement, slip condition, and thermophoretic mechanisms are also considered. The formulated model is tackled by Runge-Kutta-Fehlberg fourth-and fifth-order numerical scheme joint with shooting criteria. Momentum, thermal, and mass species behavior is executed by plots of distinct physical constraints values. It is found that the velocity component is boosted for the larger squeezed parameter whereas the temperature component shows the same behavior for Brownian motion and thermophoresis parameter. Near the lower half of the plate, velocity increases for the slip parameter whereas it decreases for magnetic and Casson parameters.

Thermal and Entropy generation analysis of magnetohydrodynamic tangent hyperbolic slip flow towards a stretching sheet

“…Equation (18) serves as an auxiliary equation to the momentum equation and ( 19) serves as an auxiliary equation to energy equations. All the terms in equations ( 15) to ( 17) are retained, while in the auxiliary equations, the right-hand sides of equations ( 18), (19), and the second equation of ( 20) are dropped because they serve as auxiliary equations to ( 15), (16), and (17). The momentum equation ( 15) and auxiliary equation (18) for the velocity profile and The energy equation ( 16) and auxiliary equation (19) for the temperature profile with the boundary conditions ( 17) and ( 20) are brought together as…”

“…MHD flow and the heat transport qualities for the boundary layer flux over a penetrable stretched sheet were studied by Hayat et al 13 The impact due to partial slip on the transfer of heat and stagnation-point flow because of a vertical stretched sheet was studied by Zaimi and Ishak. 14 The readers are referred to [15][16][17][18][19][20][21][22][23][24] study other literature related to thermal management using non-Newtonian fluids.…”

Unsteady natural convection flow of blood Casson nanofluid (Au) in a cylinder: nano-cryosurgery applications

“…Later, researchers extend their study in the cylindrical domain with various fluid models since it is close to the actual applications such as Jiang et al 61 and Shah et al 62 studied Oldroyd-B fluid meanwhile Padma et al 63 , 64 studied Jeffrey fluid model as blood. Besides that, researchers also numerically investigated the slip velocity effect of the nanofluid model in different geometries and fluid models such as nanofluid flow on the plate with Casson nanofluid model 65 – 68 and Newtonian nanofluid model 69 , nanofluid flow in a channel with Rabinowitsch nanofluid model 70 , Newtonian carbon nanotubes model 71 and Casson nanofluid model 72 , 73 , nanofluid flow in cylindrical domain with Casson nanofluid model 74 – 76 . None of them solved analytically for Casson nanofluid with slip velocity effect in the cylindrical domain.…”

Fractional model for MHD flow of Casson fluid with cadmium telluride nanoparticles using the generalized Fourier’s law

“…Tlili 10 studied the influence of thermal conductivity on the nanofluids' thermal and physical properties and rheology. Archana, et al 11 presented numerical solutions for Casson nanofluid's incompressible and squeezed flow using the Range-Kutta-Fehlberg scheme. The time-dependent flow of Casson nanofluid with radiative heat transfer was studied by Reddy, et al 12 .…”