The Stagnation Point Flow of the MHD Casson Polymeric Nanofluid Flows Toward a Wavy Circular Cylinder Saturated with a Porous Medium under Convective Nield Conditions and Thermal Radiation

Influence of thermal radiation on peristaltic blood flow of a Jeffrey fluid with double diffusion in the presence of gold nanoparticles

Thermal radiation and Hall effects on peristaltic blood flow with double diffusion in the presence of nanoparticles

Unsteady Casson nanofluid flow over a stretching sheet with thermal radiation, convective and slip boundary conditions

The non-similar solution of a viscous fluid caused by a curved stretching surface with a convective boundary condition is considered in this article. The momentum equation is modified by considering the effects of MHD and mixed convection. The energy equation is modeled as subjected to joule heating and thermal radiation effects. The independent variable "s" is present in the Eckert and Grashof numbers, which is incompatible with dimensionless parameters. In this regard, a non-similar technique is used to tackle the problem. The non-similar approach has not been tried on a curved stretching surface. Moreover, the entropy rate is discussed under these observations. The non-similarity transformation is used to convert the modeled governing equations into dimensionless PDEs. A local non-similarity method is employed for the conversion of PDE’s into ODE’s, and the numerical solution of the resulting equations is obtained via bvp4c. The novelty of the problem is that when the thermal radiation, Hartman number, and Brinkman number increase, the entropy generation increases. The Bejan number increases with the Hartman number and thermal radiation, while the Brinkman number shows the opposite behavior in boundary layer. The nonlinear radiation parameter increases the thermal profile while reverse tends noticed for the entropy generation and Bejan number. The behaviors of velocity and temperature profiles are discussed graphically for the different parameters. Physical quantities like heat transfer rate and drag force are presented in tabular form.

This investigation deals with the effects of nonlinear slip, nonlinear thermal radiation, and non‐Newtonian flow parameters on heat transfer of an incompressible magnetohydrodynamic steady flow of an Oldroyd 8‐constant fluid through two parallel infinite plates with convective cooling. The Rosseland approximation is adopted to simulate the radiation effects. Heat exchange with the surrounding at the surfaces is assumed to obey Newton's law of cooling. The system of coupled and highly nonlinear ordinary differential equations governing the model is solved numerically using the method of weighted residual. The combined effects of non‐Newtonian flow parameters, velocity slip parameter, magnetic field parameter, Biot numbers, thermal radiation on the fluid velocity, temperature distributions, skin friction, and the Nusselt number are presented graphically and discussed. It is found that the velocity slip has an increasing effect on the fluid velocity and temperature profiles. For larger values of the thermal radiation parameter, the temperature profile and the Nusselt number are noticed to be increased.

In this paper we analyse the effects of internal heat generation, thermal radiation and buoyancy force on the laminar boundary layer about a vertical plate in a uniform stream of fluid under a convective surface boundary condition. In the analysis, we assumed that the left surface of the plate is in contact with a hot fluid whilst a stream of cold fluid flows steadily over the right surface; the heat source decays exponentially outwards from the surface of the plate. The similarity variable method was applied to the steady state governing non-linear partial differential equations, which were transformed into a set of coupled non-linear ordinary differential equations and were solved numerically by applying a shooting iteration technique together with a sixth-order Runge–Kutta integration scheme for better accuracy. The effects of the Prandtl number, the local Biot number, the internal heat generation parameter, thermal radiation and the local Grashof number on the velocity and temperature profiles are illustrated and interpreted in physical terms. A comparison with previously published results on similar special cases showed excellent agreement.

The effects of chemical reaction and thermal radiation on unsteady free convection flow of a micropolar fluid past a semi-infinite vertical plate embedded in a porous medium in the presence of heat absorption with Newtonian heating have been investigated. Both physically important boundary conditions of uniform wall concentration (UWC) and uniform mass flux (UMF) are considered. Rosseland diffusion approximation is used to describe the radiative heat flux in the energy equation. Numerical results of velocity profiles of micropolar fluids are compared with the corresponding flow problems for a Newtonian fluid in UWC and UMF cases. Graphical results for velocity, temperature and concentration profiles of both phases based on the analytical solutions are presented and discussed. Finally the effects of the pertinent parameters on the skin friction, couple stress and the rate of heat transfer coefficient at the plate are discussed. Keywords: Micropolar fluid; thermal radiation; chemical reaction; heat and mass transfer; Newtonian heating.

Objective: The present study investigates the magnetohydrodynamic (MHD) boundary layer flow and thermal transport behavior of a Cu–Al2O3/water hybrid nanofluid past a porous wedge with convective boundary condition. Both viscosity and thermal conductivity are considered as functions of temperature to account for variable fluid properties, while thermal radiation and local buoyancy effects are included to model mixed convection. Method: Using appropriate similarity transformations, the system of partial differential equations governing mass, momentum, and energy is converted into nonlinear ordinary differential equations (ODEs) and tackled numerically through MATLAB’s bvp4c routine. Variations in thermal radiation, viscosity, thermal conductivity, and magnetic field strength are thoroughly examined to assess their role in velocity, temperature, skin friction, and heat transfer characteristics, and the results are presented graphically. Findings: The current results are compared with earlier studies and found a strong agreement in some specific cases. Increasing the variable viscosity parameter (θ r) from −∞ (constant case) to −2, −0.5, −0.1 and −0.05 reduces the skin friction coefficient by 27.79%, 56.91%, 81.83% and 87.86%, respectively, thereby improving the velocity profile. However, the local Nusselt number increases by 1.34%, 4.53%, 13.29% and 18.37%, which corresponds to a decrease in the temperature profile. The variable thermal conductivity parameter (θ s) increases the fluid temperature when radiation or Biot number act individually. In contrast, under their combined influence, higher θ s promotes heat dissipation, thereby decreasing the fluid temperature. Novelty: This work provides an innovative investigation into the effects of variable viscosity and thermal conductivity on MHD flow of hybrid nanofluid past a porous wedge under convective boundary condition and thermal radiation, a topic that has not yet been reported in existing literature. The proposed formulation offers a novel, unified framework for predicting more accurately the thermofluids behavior in advanced thermal management and energy system applications. Keywords: Hybrid nanofluid, Variable properties, Porous wedge, MHD flow, Similarity transformation

Entropy generation minimization is a method that helps to improve the efficiency of real processes and devices. This study investigates the heat transfer in an electrically conducting Casson fluid flow between parallel plates under the influence of thermal radiation and convective boundary conditions. The thermodynamics first and second laws were employed to examine the problem. The present study provides a fast convergent method on the finite parallel plates, namely the Optimal Homotopy Analysis method (OHAM) and Collocation Method (CM) are used to analyzes the fluid flow, heat, transport. The impacts of governing parameters on Casson flow velocity, temperature profile, local skin friction, and Nusselt number were analysed. The obtained solutions were used to determine the heat transfer irreversibility and bejan number of the model. The method employed in this paper offers excellently convergence solutions with good accuracy. The results of the computation show that the effect of thermophysical properties such as thermal radiation parameter, suction/injection parameter, magnetic field parameter, radiation parameter, and Eckert number has a significant influence on Skin friction coefficient (Cf) and local Nusselt number (Nu) when compared to the Newtonian fluid. The application of this work can be found in polymer synthesis, metallic processing, and electromagnetic crucible systems.

This study aims to investigate the flow characteristics of mixed convection in a parallel plate channel filled with bidisperse porous medium (BDPM). The objective is to understand the effects of momentum slip and convective boundary conditions on the channel walls. A two-velocity two-temperature model is employed to analyze the flow and temperature distributions in both the fluid and solid phases. The governing equations are made dimensionless using appropriate similarity transformations. The Homotopy Analysis Method (HAM) is utilized to solve the resulting equations and analyze the velocity and temperature profiles. The influence of thermal radiation on temperature regulation is explored by controlling its intensity. The impact of the Biot number on enhancing the Nusselt number, a measure of convective heat transfer, is identified. Additionally, the study investigates the effects of various parameters on velocity, temperature, Nusselt number and skin friction. Graphical representations of these relationships are presented, and the findings are discussed comprehensively.

Heat transfer in three dimensional micropolar based nanofluid with electromagnetic waves in the presence of eukaryotic microbes

Enhancing thermal efficiency in MHD kerosene oil-based ternary hybrid nanofluid flow over a stretching sheet with convective boundary conditions

Heat transfer by natural convection of Fe3O4-water nanofluid in an annulus between a wavy circular cylinder and a rhombus

This work deals with the influence of thermal radiation on the problem of the mixed convection thin film flow and heat transfer of a micropolar fluid past a moving infinite vertical porous flat plate with a slip velocity. The fluid viscosity and the thermal conductivity are assumed to be the functions of temperature. The equations governing the flow are solved numerically by the Chebyshev spectral method for some representative value of various parameters. In comparison with the previously published work, the excellent agreement is shown. The effects of various parameters on the velocity, the microrotation velocity, and the temperature profiles, as well as the skin-friction coefficient and the Nusselt number, are plotted and discussed.

Natural convective boundary layer flow and heat and mass transfer of a fluid with variable viscosity and thermal radiation over a vertical stretching surface in the presence of suction/injection is investigated by Lie group analysis. Fluid viscosity is assumed to vary as a linear function of temperature. The symmetry groups admitted by the corresponding boundary value problem are obtained by using a special form of Lie group transformations viz. scaling group of transformations. An exact solution is obtained for translation symmetry and numerical solutions for scaling symmetry. The effects of fluid viscosity and thermal radiation on the dimensionless velocity, temperature and concentration profiles are shown graphically. Comparisons with previously published works are performed and excellent agreement between the results is obtained. The conclusion is drawn that the flow field and temperature profiles are significantly influenced by these parameters.