Dual Branches of MHD Three-Dimensional Rotating Flow of Hybrid Nanofluid on Nonlinear Shrinking Sheet

In this study,magnetohydrodynamic(MHD)three-dimensional(3D)flow of alumina(Al2O3)and copper(Cu)nanoparticles of an electrically conducting incompressible fluid in a rotating frame has been investigated.The shrinking surface generates the flow that also has been examined.The single-phase(i.e.,Tiwari and Das)model is implemented for the hybrid nanofluid transport phenomena.Results for alumina and copper nanomaterials in the water base fluid are achieved.Boundary layer approximations are used to reduce governing partial differential(PDEs)system into the system of the ordinary differential equations(ODEs).The three-stage Lobatto IIIa method in bvp4c solver is applied for solutions of the governing model.Graphical results have been shown to examine how velocity and temperature fields are influenced by various applied parameters.It has been found that there are two branches for certain values of the suction/injection parameter b:The rise in copper volumetric concentration improved the velocity of hybrid nanofluid in the upper branch.The heat transfer rate improved for the case of hybrid nanofluid as compared to the viscous fluid and simple nanofluid.

Analysis of Magnetic Resistive Flow of Generalized Brinkman Type Nanofluid Containing Carbon Nanotubes with Ramped Heating

In recent times,scientists and engineers have been most attracted to electrically conducted nanofluids due to their numerous applications in various fields of science and engineering.For example,they are used in cancer treatment(hyperthermia),magnetic resonance imaging(MRI),drugdelivery,and magnetic refrigeration(MR).Bearing in mind the significance and importance of electrically conducted nanofluids,this article aims to study an electrically conducted water-based nanofluid containing carbon nanotubes(CNTs).CNTs are of two types,single-wall carbon nanotubes(SWCNTs)and multiple-wall carbon nanotubes(MWCNTs).The CNTs(SWCNTs and MWCNTs)have been dispersed in regular water as base fluid to form waterCNTs nanofluid.The Brinkman Type nanofluid model is developed in terms of time-fractional domain.The ramped heating and sinusoidal oscillations conditions have been taken at the boundary.The model has been solved for exact analytical solutions via the fractional Laplace transform method.The exact solutions have been graphically studied to explore the physics of various pertinent flow parameters on velocity and temperature fields.The empirical results reveal that the temperature and velocity fields decreased with increasing values of fractional parameters due to variation in thermal and momentum boundary layers.It is also indicated that the isothermal velocity and temperature are higher than ramped velocity and temperature.

Novel Analytical Thermal Performance Rate Analysis in ZnO-SAE50 Nanolubricant: Nonlinear Mathematical Model

The investigation of local thermal transport rate in the nanolubricants is significant.These lubricants are broadly used in environmental pollution,mechanical engineering and in the paint industry due to high thermal performance rate.Therefore,thermal transport in ZnO-SAE50 nanolubricant under the impacts of heat generation/absorption is conducted.The colloidal suspension is flowing between parallel stretching disks in which the lower disk is positioned at z=0 and upper disk apart from distance d.The problem is transformed in dimensionless version via described similarity transforms.In the next stage,an analytical technique(VPM)is implemented for the solution purpose.The graphical results against multiple flow parameters were furnished over the region of interest and explained comprehensively.It is imperative to mention that the results are plotted for ZnO-SAE50 and conventional liquid as well.Further,rapid motion of the fluid is perceived against high Reynolds andγparameters.The wall shear stresses at the upper end rises for multiple Reynolds andγwhile;decrement is detected at the lower end.The significant contribution of an internal heat source is noted for thermal performance rate at the upper end.Foremost,the local heat transport rate declines at the lower disk.By altering Reynolds number,prompt heat transfer rate is gained at the upper disk and increasing behavior of the local heat transport rate is slow at the lower disk.From the study,it is concluded that the nanolubricants have high thermal characteristics.Therefore,such fluids are reliable to use in above stated areas.