Thermo-diffusion impact on immiscible flow characteristics of convectively heated vertical two-layered Baffle saturated porous channels in a suspension of nanoparticles:an analytical study

The heat and mass transfer of two immiscible fluids in an inclined channel with thermal diffusion,vicious,and Darcy dissipation is studied.The first region consists of a clear fluid,and the second one is filled with a nanofluid saturated with a porous medium.The behaviors of Cu-H_(2)O,In-H_(2)O,and Au-H_(2)O nanofluids are analyzed.The transport properties are assumed to be constant.The coupled non-linear equations of the flow model are transformed into the dimensionless form,and the solutions for the velocity,temperature,and concentration are obtained by the regular perturbation technique.Investigations are carried out on the flow characteristics for various values of the material parameters.The results show that the velocity and temperature of the fluids enhance with the thermal Grashof number,solutal Grashof number,and Brinkman number while decrease with the porosity parameter and solid volume fraction.

3D Casson nanofluid flow over slendering surface in a suspension of gyrotactic microorganisms with Cattaneo-Christov heat flux

A mathematical model is proposed to execute the features of the non-uniform heat source or sink in the chemically reacting magnetohydrodynamic （MHD） Casson fluid across a slendering sheet in the presence of microorganisms and Cattaneo-Christov heat flux. Multiple slips （diffusion, thermal, and momentum slips） are applied in the modeling of the heat and mass transport processes. The Runge-Kutta based shooting method is used to find the solutions. Numerical simulation is carried out for various values of the physical constraints when the Casson index parameter is positive, negative, or infinite with the aid of plots. The coefficients of the skin factors, the local Nusselt number, and the Sherwood number are estimated for different parameters, and discussed for engineering interest. It is found that the gyrotactic microorganisms are greatly encouraged when the dimensionless parameters increase, especially when the Casson fluid parameter is negative. It is worth mentioning that th~ velocity profiles when the Casson fluid parameter is positive are higher than those when the Casson fluid parameter is negative or infinite, whereas the temperature and concentration fields show exactly opposite phenomena.

Nonlinear Thermal Buoyancy on Ferromagnetic Liquid Stream Over a Radiated Elastic Surface with Non Fourier Heat Flux

The current article discusses the heat transfer characteristics of ferromagnetic liquid over an elastic surface with the thermal radiation and non-Fourier heat flux.In most of the existing studies,the heat flux is considered as constant,but whereas we incorporated the non-Fourier flux to get the exact performance of the flow.Also,we excluded the PWT and PHF cases to control the boundary layer of the flow.The governing equations related to our contemplate are changed into non-linear ordinary differential equations(ODE’s)by utilizing appropriate similarity changes,which are at the point enlightened by Runge–Kutta based shooting approach.The equations are broken down concerning boundary conditions and to be explained prescribed wall temperature(PWT)and prescribed heat flux(PHF)cases.The impacts of diverse non-dimensional physical parameters on velocity and temperature profiles are laid out graphically.Also,the assortment of skin friction and local Nusselt number for both PWT and PHF cases for various assessments of non-dimensional parameters have been sorted out.Towards the wrap-up of the examination,we suspect that the friction factor coefficient is higher in the PWT case compared to the PHF case.This result helps to conclude that the flux conditions are useful for cooling applications.

Entropy generation minimization in the Carreau nanofluid flow over a convectively heated inclined plate with quadratic thermal radiation and chemical reaction:A Stefan blowing application

Entropy analysis can help to identify the sources of entropy generation in a heat transfer process more accurately than other methods,such as energy efficiency analysis.This is because entropy analysis takes into account the quality of energy as well as its quantity.Na-nofluids have already been shown to have superior heat transfer characteristics compared to conventionalfluids.Stefan blowing can further enhance the heat transfer capabilities of nano-fluids by increasing the massflux and turbulence at the surface.This can be beneficial in a wide range of applications,such as heat exchangers,electronic cooling,and solar energy devices.The convective boundary condition accounts for heat transfer effects,influencing temperature distribution and the thermal boundary layer.Depending on the direction of heat transfer,the convective boundary condition can induce cooling or heating effects on the inclined plate.This has practical implications for various engineering applications,such as the cooling of electronic devices or heating in industrial processes.Carreau nanofluids have a wide range of potential applications in heat transfer,energy storage,drug delivery,and food processing.This research investigates how the presence of Stefan blowing affects the properties of Carreau nanofluid flow across a convectively heated tilted plate.Heat and mass transport phenomena are studied using quadratic thermal radiation and chemical reaction parameters.The mathematical model for this work is based on the Buongiorno model.The governing equations are converted into a system of ordinary differential equations and then solved using the bvp4c solver.Physical parameters such as the mass transfer rate can be visualized using bar graphs.The study’s primary findings are that when the Weissenberg number increases,the velocity rises and the concentration profile declines due to Brownian motion.It is discovered that,when 0.5≤γ≤3(the inverse porosity parameter),the friction factor declines by 0.34001(in the presence of Stefan blowing),and 0.3284(otherwise).It has been observed that as the Brinkman number and magnetic field parameters increase,there is an increase in entropy formation.Additionally,it has been noted that these same factors have an inverse effect on the Bejan number.At 0.1≤Nb≤0.6(Brownian motion),the Sherwood number is seen to rise at a rate of 0.113353(in the presence of Stefan blowing),and 0.479739(otherwise).When the Stefan blowing parameter is absent,the rate of heat transfer is observed to be noticeably faster than when it is present.Furthermore,when the heat source parameter is set to 0.1≤Hs≤0.6,the decrement rates in heat transfer rate are 0.12208(in the presence of Stefan blowing)and 0.02102(otherwise).

Analytical analysis of inclined three-layered composite channel with cobalt ferrite nanoparticles and Hall current in Darcy medium

The present study explores the influence of electromagnetic effects on the flow of a nanofluid in a saturated permeable medium,confined between a clear viscous fluid in an inclined channel.The nanofluid consists of cobalt ferrite nanoparticles dispersed in ethylene glycol.The governing equations are derived considering Darcy's law for the permeable medium and Tiwari's model for fluids containing nano-sized particles.Additionally,radiation and dissipation effects are incorporated into the energy equation.The equations are transformed into dimensionless form and solved analytically using the perturbation technique.The results are analyzed through graphs and tables for different material parameters.The findings reveal that higher electric and magnetic strengths have a significant impact on the fluid velocity at the interface of the two fluids,resulting in reduced shear both at the clear fluid surface and the interface between them.This highlights the crucial role played by electric and magnetic strengths in modifying flow phenomena.Consequently,combining electric and magnetic strengths with nanofluids can be utilized to achieve desired qualities in multi-fluid flow and enhance heat transfer characteristics.

Hydromagnetic unsteady slip stagnation flow of nanofluid with suspension of mixed bio-convection

In this paper,stagnation point region(suspended with nanofluid and microorganisms)is examined subjected to velocity and thermal slips.The flow is assumed to be flowing across an exponentially stretching flat surface under magnetic field environment.Governing transport equations(framed under Buongiorno’s model)are converted into self-similar form through suitable unsteady exponential similarity transformations which are then solved by employing implicit finite difference scheme(IFDS)known as Keller-box method(KBM).A parametric analysis is performed along with limited details of KBM.Influence of pertinent constraints on local skin friction,local Nusselt number,local Sherwood number and local density number of micro-organisms are also uncovered through graphs.A significant decrease in skin-friction coefficients has been detected with respect to thermal slip in comparison to velocity slip.