Narrow Results

Nanofluid and magnetic field impacts are significant in bioengineering and medical treatment. The effectiveness of gold particles in blood flow (Sisko fluid flow) with nonlinear thermal radiation and heat source over a curved surface is investigated in this work. The partial slip influence is utilized to explore the characteristics of nanofluid flow in depth. The Sisko model’s first-order partial differential equations (PDEs) are simplified to ordinary differential equations (ODEs) by employing suitable variables. The findings are displayed by using the bvp4c (shooting approach) in MATLAB. When compared to earlier reports, the accuracy is found to be satisfactory. In addition to the influence of a magnetic field and radiation, although both are useful in therapeutic hyperthermia, the magnetic field reduces the velocity distribution. The velocity profile is boomed for the estimations of slip parameter while declined for the suction parameter. The thermal profile is boosted up for the higher magnitude of temperature ratio parameter and Biot number. The thermal profile is decreased for the greater values of the suction parameter while increases for the heat source parameter.

The extension of nanoliquid obtained by adding nano-powder composite or various nanoparticles in regular liquid is term as hybrid nanofluid. Hybrid nanofluids are more potential materials that significantly uplift the thermophysical feature and capacity of heat transportation instead of single nanoparticle nanoliquid. Hence, the paramount interest of this paper is to model theoretically the flow of aqueous alumina–titania hybrid nanoliquid across a rotating channel. Temperature-based viscosity is addressed. This analysis further contributes the impact of heat source and dissipation phenomena. Additionally, two different shapes of nanoparticles, namely, bricks- and needle-shaped are included. Similarity variables dimensionless the governing problem. The obtained system is solved by employing Mathematica-based NDSolve approach. The impact of various embedded variables is elucidated graphically. The presence of hybrid nanocomposite greatly affects the temperature and Nusselt number than nanoparticles. Further outcomes declared that rotation and heat source variables significantly increase the thermal field for hybrid nanophase when compared with nanophase.

This paper studies the recent flow phenomena based upon the kerosene-based nanofluid through vertical parallel channel for the consideration of the variable thermal conductivity. The free convection of electrically conducting MHD fluid due to the interaction of inertial drag along with thermal radiation, heat source and the dissipative heat enriches the study as well. The structural behavior of the physical quantities is useful in recent applications like the cooling processes in refrigerators, semi-cryogenic rocket engine, etc. because of the practical application of the kerosene-based nanofluid. Also, the models associated with the thermophysical properties such as viscosity and thermal conductivity for the choice of volume concentration are favorable for the thermal enhancement. The designed model for the transport phenomena is transformed to its non-dimensional form for the suitable choice of similarity variables and the set of equations are handled by traditional numerical technique. Further, the involvement of the physical parameters and their physical significance is described briefly for the appropriate values within the specified range. Finally, the important outcomes of the study are that nanoparticle concentration has vital role in decelerating the fluid velocity and the fact is due to the heavier density and the inclusion of porous matrix is useful to retard the wall thickness at both the ends. Moreover, the increasing concentration favors in enhancing shear rate at the first wall whereas near the second wall, the impact is opposite.

This paper presents an investigation of magnetohydrodynamics (MHD) Casson nanofluid flow along a stretchable surface through a permeable medium. The modeling of the physical phenomena is considered with impact of thermal radiation, heat generation, slip conditions and suction. Transformations of the governing set of mathematical equations for the physical model are carried out into nonlinear ordinary differential equations (ODEs) with appropriate similarity variables. The nonlinear ODE solutions are carried out using the optimal homotopy analysis technique (OHAM), and the findings are presented for determining the influences of the emerging important parameters. The results indicate that velocity field increases in respect of porosity parameter, Casson fluid parameter and magnetic parameter while it declines for enhancing velocity slip and suction parameters. The temperature profile shows rising behavior for heat source, Prandtl number, thermophoresis, radiation and Brownian motion parameters while it declines for enhancing thermal slip parameter. Moreover, the concentration profile enhances for rise in Brownian motion parameter while it reduces for Schmidt number and nanoparticle parameter. We also showed the accuracy of the present results by indicating that skin friction values for varied magnetic parameters agree with earlier findings in the literature.

This paper analyzes the heat transport phenomena of two-phase nanofluid within a permeable circular segment with an interaction of Arrhenius activation energy and, examines the interaction of convective boundary conditions affecting the flow characteristics. The pre-exponential factor of the Arrhenius equation deals with the collision between molecules, and it has significant applications for getting the rate of a chemical reaction and is used to estimate material properties with changes in temperature and energy. To a greater extent, the external uniform heat source encourages thermal properties on account of the behavior of Brownian and thermophoresis parameters. The transformation of the standard nondimensional form of the governing equations is obtained for the assumption of appropriate similarity variables and stream function. The set of these transformed equations is tackled numerically with the shooting technique. The characteristics of physical parameters on the flow phenomena are presented graphically and the validation with earlier research displays a strong correlation for the specific case. The special attraction of the present investigation is the regression analysis for the simulated results of heat and solutal transfer rates using Response Surface Methodology considering various characterizing parameters like heat source, thermal radiation, curvature, activation energy, thermal and solutal Biot numbers within certain range.

We intend to analyze the influences of heat dissipation and heat generation on steady nanofluid stagnated flow along an extending surface along with thermal boundary layers. Water-based Cu and Al₂O₃ nanoparticles are considered. Moreover, the mechanism of injection/suction has been analyzed for such flows. Fundamental governing equations for the flow of an isotropic in-compressible thermally radiative single-phase nanofluid are defined by the set of nonlinear Partial Differential Equations (PDEs) which are transmuted to Ordinary Differential Equation (ODEs) and dealt with numerically by using Runge–Kutta (RK) fourth-order adopting shooting technique that gives approximate simulations. The numerical findings are illustrated as graphical and tabular representations after a careful parametric examination of determined parameters is carried out. The current outcomes specify that the velocity profiles decrease under the influence of magnetic strength while heat distribution positively changes under the effect of magnetic strength, heat source, radiative term and Biot number quantity. The temperature profiles behave negatively with the thermal Grashof number and Prandtl number. Moreover, the comparative simulations of the ongoing study with existing the literature for ensuing the obtained simulations have been worked out.