Multiphysics Interactions in Casson Fluid Flow Over an Oscillating Cylinder With Diffusion‐Thermo and Thermal‐Diffusion Effects

The impact of Viscous dissipation on the heat and mass transfer characteristics of an Eyring Powell nanofluid flow past a horizontal circular cylinder is intensively investigated in the presence of Dufour and Soret effects. The free laminar flow is subject to a uniform transverse magnetic field. The continuity, momentum, energy, and concentrations equations are transformed into a nonlinear system of partial differential equations using appropriate non-similarity variables. The transformed system was solved numerically using the fourth order Runge Kutta method. The effect of parameters including Prandtl number, Dufour effect, Soret effect and Schmidt number were studied and presented graphically. Nusselt and Sherwood numbers have also been derived and discussed numerically.

The stability of unsteady boundary layer flow and heat transfer over stretching/shrinking sheet immersed in Copper-water nanofluid is studied with the presence of partial slip, Soret and Dufour effects. Tiwari and Das model is considered to solve the nanofluid boundary layer problem. The system of partial differential equations is transformed to ordinary differential equations using similarity transformation and was solved using bvp4c program in Matlab software to obtain the numerical solutions. The results were displayed graphically and the figures revealed that the dual solutions with the presence of partial slip, Soret and Dufour effects were exist for a certain range of stretching/shrinking parameter. Finally, the stability analysis is applied in order to determine the stability of the solution.

The present investigation concentrates on the unsteady flow of tangent hyperbolic liquid past a vertical plate under the influence of Lorentz force, Joule heating, and viscous dissipation. The mathematical modelling leads to nonlinear coupled partial differential equations (PDEs). Suitable non-dimensional quantities are applied to the governing PDEs to obtain dimensionless systems of equations. The transformed boundary layer PDEs are solved with the aid of the spectral relaxation method (SRM). The SRM employs the Gauss-Seidel techniques to linearize and decouple the system of nonlinear PDEs. The applied magnetic field acts as an opposition to the flow by producing the Lorentz force. The Weissenberg parameter, alongside the magnetic parameter, is observed to decline the velocity profile. An increment in thermal radiation parameter is observed to enhance the thickness of the hydrodynamic and thermal boundary layer. Therefore, the thermal condition and convective flow are improved with heat generation and thermal radiation in the flow phenomenon. This investigation is unique because it investigates the combined influence of Soret-Dufour and MHD, viscous dissipation, and Joule heating. This study plays a significant role in astrophysics, heat exchanger devices, MHD power generation, and geothermal energy extraction. When this study is compared to studies that have already been done, it agrees with those studies.

Marangoni convection is an important physical phenomenon under microgravity environments, initiated by a surface tension gradient on the interface. Marangoni-induced flow is significant in crystal growth melts, in which the flow generates unfortunate impacts under microgravity in a similar way as buoyancy induced natural convection. The current study examines the combined effect of thermophoretic particle diffusion and mixed convection in the Marangoni convective flow saturated by the Darcy-Forchheimer porous medium on a stretchable surface. Radiative heat flux and viscous dissipation effects are used to develop the energy equation. Water is a base fluid, and Al2O3 is a nanoparticle. The governing system of partial differential equations is reduced to an ordinary one implementing some classical similarity variables. The Runge–Kutta fourth (RK-4th) order algorithm is used for the numerical solutions. The results are presented graphically for the velocity, temperature, and concentration. Plots of streamlines and isotherms analyze the impacts of the governing parameters. The mixed convection parameter significantly affects the flow fields. The engineering curiosities, such as Sherwood number, skin friction coefficient, and Nusselt number, are discussed using different governing parameters.

This paper is devoted to investigate the influences of thermal radiation and temperature-dependent fluid properties on convective slip flow of slightly rarefied fluids over a porous wedge plate embedded in a Darcy-Forchheimer porous medium. Using the similarity transformation, the governing system of non-linear partial differential equations is transformed into similarity non-linear ordinary differential equations which are solved by employing a numerical shooting technique with a fourth-order Runge-Kutta integration scheme. Numerical results are analyzed for the effect of different pertinent parameters on the flow and heat transfer characteristics.

Purpose The purpose of this study is to explore the impact of Joule heating, slip conditions, Dufour and Soret effects on three-dimensional magneto-convection of nanoliquid over a rotating surface in the existence of thermal radiation, viscous dissipation and internal heat generation/absorption. Design/methodology/approach The considered physical system is modelled by a set of partial differential equations (PDEs) with conditions at surface. Then, the nonlinear PDEs are altered into a system of ordinary differential equations and they are solved numerically by the Runge−Kutta−Fehlberg method. Plotting the collected velocity, temperature and solute concentration characteristics allows one to see how relevant parameters affect the results. Calculations are made for skin friction and the rate of heat and mass transfer. Findings The outcomes are portrayed in the form of tables and graphs with a wide range of parameter involved in the study. It is observed that the local thermal energy transfer rate enriches on increasing the value of both thermal and solute slips. The solutal slip parameter suppresses the solute transport rate and thermal slip supports the solute transport. Practical implications Combining the Dufour and Soret effects is used in oil reservoirs, binary alloy solidification and isotope separation in mixtures of gases. Heat exchangers, nuclear reactors and thermal engineering can all benefit from the usage of nanofluid with Joule heating. Social implications This study is mainly useful for thermal sciences and chemical engineering. Originality/value The investigation of the effects of slip circumstances and Joule heating on magnetohydrodynamic rotating nanoliquid stream with thermal radiation and cross-diffusion makes this work unique. The discoveries produced are valuable and distinctive, and they have applications in many areas of thermal science and technology.

Transportation of heat through porous media has been a subject of many studies due to the increasing need for a better understanding of the associated transport processes. There are numerous practical applications which can be modeled or can be approximated as transport through porousmedia such as grain storage, packed sphere beds, high performance insulation for buildings, migration of moisture through the air contained in fibrous insulations, heat exchange between soil and atmosphere sensible heat storage beds and beds of fossil fuels and geothermal energy systems, among other areas. Double diffusive is driven by buoyancy due to temperature and concentration gradients. Magnetohydrodynamic flows have many applications in solar physics, cosmic fluid dynamics, geophysics and in the motion of earth’s core as well as in chemical engineering and electronics. Huges and Young (1996) gave an excellent summary of applications. Soret and Dufour effects become significant when species are introduced at a surface in fluid domain, with different (lower) density than the surrounding fluid. When heat and mass transfer occur simultaneously in a moving fluid, the relations between the fluxes and the driving potentials are more intricate in nature. It is now known that an energy flux can be generated not only by temperature gradients but by composition gradients as well. This type of energy flux is called the Dufour or diffusion-thermo effect. We also have mass fluxes being created by temperature gradients and this is called the Soret or thermal-diffusion. The effect of chemical reaction depends on whether the reaction is heterogenous or homogenous. Motivated by previousworks Abreu (et al. 2006) Alam & Rahman (2006), Don & Solomonoff (1995) Shateyi (2008) and many possible industrial and engineering applications, we aim in this chapter to analyze steady two-dimensional hydromagnetic flow of a viscous incompressible, electrically conducting and viscous dissipating fluid past a semi-infinite 16

This paper study the hybrid nanofluid flow over a stretching sheet with additional effect of Wu’s slip. Comparative study of four different hybrid nanofluids is done here. We have considered manganese zinc ferrite NnZnFe₂O₄, Nickle zinc ferrite NiZnFe₂O₄ as nanoparticles whereas Kerosene oil CSUB10/SUBHSUB22/SUB and Engine oil CSUB8/SUBHSUB18/SUB as base fluids. Darcy Forchheimer porous medium is considered in momentum equation. Heat equation is studied in presence of different effects namely radiation, convective condition, temperature dependent heat source sink and viscous dissipation. Transformations are applied on PDE’s to form the governing equation of ODE’s. Shooting method technique is used to solve the governing equations. Velocity, temperature, Nusselt number and skin friction behaviour against different parameters is analyzed via graphs. Velocity of the fluid decays for higher slip parameter. Motion of the fluid increases for greater values of Forchheimer number. Temperature is increasing function of Biot number.

A theoretical study of unsteady magnetohydrodynamic boundary layer stagnation point flow, heat and mass transfer of a second grade electrically-conducting nanofluid from a horizontal stretching sheet with thermal slip and second order slip velocity effects is presented. The Buongiorno formulation is employed for nanofluids and in addition the no-flux nanoparticle boundary condition is also considered. The appropriate similarity transformations are applied to convert the governing equations into the system of nonlinear partial differential equations, which is solved by using homotopy analysis method. Entropy generation and Bejan number have also been evaluated for the effects of magnetic parameter, Reynolds number and slip parameter in non-Newtonian (second-grade) time-dependent flow. The computations show that skin friction coefficient and entropy generation number increase with an increment in magnetic parameter whereas Bejan number decreases with it. Local Nusselt number decreases with an increase in the value of Eckert number (viscous dissipation) and thermal slip whereas the converse behaviour is captured for velocity parameter. The work is relevant to magnetohydrodynamic nanomaterials processing.

ABSTRACTThe Lie group transformation method is applied for solving the problem of mixed convection flow with mass transfer over a permeable stretching surface with Soret and Dufour effects. The application of Lie group method reduces the number of independent variables by one and consequently the system of governing partial differential equations reduces to a system of ordinary differential equations with appropriate boundary conditions. Further, the reduced non-linear ordinary differential equations are solved numerically by using the shooting method. The effects of various parameters governing the flow and heat transfer are shown through graphs and discussed. Our aim is to detect new similarity variables which transform our system of partial differential equations to a system of ordinary differential equations. In this work a special attention is given to investigate the effect of the Soret and Dufour numbers on the velocity, temperature and concentration fields above the sheet.

The current study focuses on the temperature and mass distributions in the flow of exponentially heated, chemically reactive micropolar fluid over a horizontal porous stretching sheet within Darcy-Forchheimer porous medium with activation energy and viscous dissipation. The governing partial differential equations are transformed using similarity transformations and converted into a set of ordinary differential equations. Reduced ordinary differential equations are solved by similarity analysis through the bvp4c tool in MATLAB. This study examines how the transition in temperature, mass, and velocity of fluid are affected by different physical parameters. To enhance the overall transfer process, the concentration, temperature, and velocity distributions are discussed for the physical parameters. The study investigates the behavior of magnetohydrodynamic (MHD) micropolar fluids under varying physical parameters. Results indicate that an increase in the magnetic parameter enhances the temperature profile, while a rise in the porosity parameter decreases the velocity distribution. An enhancement in temperature distributions is observed with the rise of exponential heat source and thermal-dependent heat source. Furthermore, mass transfer improves with higher activation energy. These findings underscore the potential of MHD micropolar fluids in engineering applications such as oil exploration, geothermal energy extraction, and nuclear reactor cooling systems.

Entropy generation and heat transfer analysis of unsteady micropolar magnetized hybrid-nanofluid flow over a radially stretchable permeable rotating disk with viscous and joule dissipation effects

Numerical exploration of MHD unsteady flow of THNF passing through a moving cylinder with Soret and Dufour effects

The Soret and Dufour effects on a steady free convection and mass transfer flow past a semi infinite flat plate with viscous dissipation in a porous medium have been studied numerically. The equation governing the flow of heat and mass transfer have been solved by Runge Kutta Gill method with shooting technique. The flow characteristics have been studied for different values of Pr, Gb, Sc, Sr and Du.

This article models a system of partial differential equations (PDEs) for the thermal and solute characteristics under gradients (concentration and temperature) in the magnetohydrodynamic flow of Casson liquid in a Darcy porous medium. The modelled problems are highly non-linear with convective boundary conditions. These problems are solved numerically with a finite element approach under a tolerance of 10−8. A numerical algorithm (finite element approach) is provided and a numerical procedure is discussed. Convergence is also observed via 300 elements. Simulations are run to explore the dynamics of flow and the transport of heat and mass under parametric variation. To examine the impact of a temperature gradient on the transport of mass and the role of a concentration gradient on the transport of heat energy, simulations are recorded. Remarkable changes in temperature and concentration are noted when Dufour and Soret numbers are varied.