Stratification is characterized as having applications in a variety of energy storage disciplines, including solar thermal energy usage systems. The effect of heat production, magnetic field, and ...varied fluid characteristics on the flow of Casson fluid across unstratified and stably stratified paraboloid of revolution is investigated in this work. The velocity index
is suitable to describe the fluid flow on an upper horizontal surface of a paraboloid of revolution. It is imperative to mention that the upper horizontal surface of a paraboloid of revolution is likened to the pointed surface of an aircraft which is also described as a surface with variable thickness. The governing partial differential equations are transformed into the nonlinear ordinary differential equations using the similarity transformation. The dimensionless nonlinear ordinary differential equations are solved with the help of the Bvp4c numerical algorithm. The effects of relevant parameters are revealed on various profiles and discussed. It is observed that both the temperature and concentration distributions decrease with increase in thermal stratification
and solutal stratification
parameters when the velocity index parameter
•Boundary layer flow on flat surface.•Liquid and gas-type phenomena depending on temperature are considered near the boundary layer region.•Viscosity and thermal conductivity are assumed to be ...temperature depended.
In this study, we present the slip conditions along with entropy generation of 2-D flow induced by a linear stretching surface with thermo-physical characteristics. We used the viscous model for shear flow conduct and calculate the steady flow field with the slip effect near the stretching surface. The concentration and energy equations are analyzed under the effect of thermo-physical properties. In this study, the thermo-physical properties are presumed to be variable. The system of equations occurs with boundary layer technique are transformed into ODEs by new similarity approach. The study is analyzed completely on base flow and entropy profiles. The radial slip coefficient shows reduction in the radial velocity and normal velocity profile creates incrementing in roughness of surface. The entropy function increases due to upper values of Brinkman number and diffusivity parameter. The mass diffusion coefficient and concentration ratio variable creates enhancement in entropy generation. The physical aspects are given through figures. The correlation of mean flow and entropy generation are presented by making the graphical plots. The comparison analysis with already published articles is also reported here.
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The proposed work is significantly important due to its applications in manufacturing process of submarine, bullets and aircrafts, and many more engineering and industrial works such as cooling and ...heating processes and chemical works. The purpose of this article is to scrutinize the flow, heat and mass transferal rate for the boundary layer flow of non-Newtonian fluid with variable fluid characteristics on the radiative paraboloid surface. The non-Newtonian fluid which is under consideration is Cross fluid model which is generalized Newtonian fluid and it acts as a shear thickening and thinning. For the sake of heat and mass transport, we have considered the activation energy and thermal radiation effects. The governing equations of considered fluid model occurred in the PDEs form and then transmuted into ODEs form by using similarity variables. The graphical behavior in terms of velocity field is noted due to viscosity parameter and Hartmann number which shows drops behavior in velocity profile. The impact of thermal radiation and thermal conductivity coefficients is noted here and concluded that both quantities creates enhancement in temperature field. The concentration transfer rate is observing for activation energy, reaction rate coefficient and mass diffusion parameters. Activation energy and mass diffusion coefficient improves the concentration rate while reaction rate diminishes the concentration layer thickness. The result of varying the Weissenberg number upon the skin friction is also analyzed. Also the comparison analyses with published articles are presented.
Various industrial and engineering operations are accompanied with the phenomena of heating and cooling and in such situations, the construction of relevant thermal devices for use in energy and ...electronic devices is crucial. For efficient performance of such devices, entropy generation should be reduced in the processes. Hence, this study focuses on the impact of nonlinear thermal radiation with entropy production on the steady flow of magneto-micropolar fluid. The flow is generated by a nonlinear stretchable sheet with the influence of variable fluid properties and convective surface heating condition. The controlling mathematical equations are transmuted from partial to ordinary differential equations by similarity conversion procedures and then numerically integrated using shooting techniques accompanied by Runge-Kutta scheme. The graphs of the main physical quantities affecting the velocity, temperature, entropy generation and Bejan number are displayed and discussed. The comparison of the results revealed good relationship with existing ones in literature in the limiting conditions for special cases. From the analysis, it is found that the growth in the magnitude of Prandtl and Eckert numbers enhance entropy generation while the dominance of viscous and Ohmic heating irreversibility over heat transfer irreversibility is observed with a rise in both parameters due to a decline in Bejan number.
•The thermal boundary layer grows in the presence of thermal radiation.•Micropolar fluid and wall excess ratio enhance entropy generation.•Fluid friction and magnetic field irreversibility rises with magnetic field.•Hydrodynamic boundary layer falls with growth in viscosity and porosity.•Wall excess temperature ratio strengthens heat transfer irreversibility.
The paper investigates the blood flow analysis through a non-uniform inclined channel by treating blood as a non-Newtonian Phan-Thien-Tanner (PTT) liquid. The impact of the chemical reaction and ...convective boundary conditions are studied in the current formulation. The interaction referring to such constraints report supporting behavior to simulates the particles motion in surgical systems. The fluid movement is regulated through complictatd systems for which solution is enables via perturbation procedure. The influences of diverse emerging parameters over several physiological quantities are scrutinized explicitly. It is also detected that geometric parameters like amplitudes, non-uniform parameters, and inclination angles play a vital role in operating liquid transport phenomena. The obtained results reveal that controlling of velocity due to magnetic constants is observed while thermal determination of particles showing an enhancing trend. Hence magnetic field is used in blood flow analysis such as a catheter, drug delivery, etc. The objective of applicable pertialtic model provdes assistant in hemodialysis.
The importance of this study is that the physical properties no longer to be consider as a constant, therefore dynamics of the mechanism of temperature dependent fluid properties and species ...concentration variation on the magnetized flow of a micropolar fluid in a rotating frame is studied in this article. The flow is considered between two porous plates with slip boundary conditions on the lower plate. The cross-diffusion theory on the thermal and solutal transportation investigation is presented by the help of non-uniflorm source / sink and nonlinear chemical reaction. The equations of motion and energy are reduced into the set of couple nonlinear ordinary differential equations by the usage of appropriative transformation. These couple nonlinear equations are tackled numerically with the utilization of BVP4C function on MATLAB. The graphical and numerical outcomes are obtained with physical discussion for various parameter. The study concludes that as the material parameter approaches to zero, the flow of micropolar fluids approaches to the Newtonian fluids. It is worth mentioning that the variable viscosity reduces the fluid velocity near the lower plate due to domination of viscous forces, while fluid temperature shows rising trend by the improvement of variable thermal conductivity because of the more heat production. Further, it is noticed that the Soret and Dufour impacts precludes the solutal deposition and coolant the bounding at surface, as a result fluid temperature and concentration enhances.
In this paper, we examine the theoretical and numerical study of the flow over a heated infinite rotating disk with temperature-dependent viscosity, conductivity and diffusivity. We utilized the ...Carreau model for shear thickening behavior and determine the steady flow profiles under the partial-slip and Darcy-Forhhemier effects near the rotating surface. Using heat and mass transfer phenomena, we determine this behavior with modified activation enthalpy, radiative heat flux and thermophoretic effect. These study has explored a great interest in applied engineering procedures due to increasing theoretical and mathematical elevation problem. For large Reynold's number, the basic flow may be determined numerically in terms of von-Kàrmàn similarity solution. Using von-Kàrmàn similarity solutions, the boundary layer equations are converted into a system of ordinary differential equations which have been solved by the shooting method. The effects of porosity, Darcy and slip parameters show a decrease behavior for the mean flow profiles. Variable diffusivity and thermal conductivity increases the concentration and temperature distributions. The mean flow concentration profile increases by increasing values of ε2 number, λc parameter and Du number. The numerical results obtained for different mechanisms are presented through graphs and tables. This study analyzes the interesting physical parameters on the mean flow, heat and mass transfer through graphs and tables.
The current research explores an unsteady three-dimensional Maxwell nanofluid flow with variable viscosity and thermal conductivity through a stretching surface. The influence of Joule heating, heat ...generation/absorption, and chemical reaction are also incorporated in current investigation. By the utilization of suitable transformation, the flow model is transformed into coupled ordinary differential equations. The numerical solution of the coupled ODEs is adopted by the usage of Bvp4c built-in code in MATLAB software. The graphical findings are manipulated to present the features of heat and mass transfer for the different parameters. It is observed form the graphical description that the velocity of fluid declines for stronger estimation of Deborah number, because it provides resistance to fluid motion. Further, enhancement is arisen in the velocity of fluid by the increment of the variable viscosity parameter. It is examined from the tabulated data, that the Nusselt and Shewrood number displays reducing behavior for the unsteadiness parameter. Moreover, due to higher estimation of variable thermal conductivity parameter the heat transfer rate declines consequently.
Numerical solutions are presented for the natural convection flow along a vertical wavy cone situated in the thermally radiating fluid. The fluid flow and heat transfer characteristics are analyzed ...for the fluid having temperature dependent viscosity and thermal conductivity. After the primitive variable formulations, the transformed equations are integrated numerically through implicit finite difference method. Computational results are carried out for a range of physical parameters and interpreted in the form of skin friction coefficient, Nusselt number coefficient, streamlines and isotherms. The calculations show strong influence of thermal radiation parameter on the velocity and temperature fields. It is also reported that variable fluid properties sufficiently alter the important physical quantities and the quantitative analysis determines that it is likely to be more than 50%.
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