Implications of Multiple Numerical Aspects for Carreau Nanofluids With Heat Generation/absorption via Nonuniform Channels

Nanomaterials are unique work fluids with preeminent thermal performance for improving heat dissipation. We present theoretical and mathematical insights into nanofluid heat transfer and flow dynamics in nonuniform channels utilizing a non-Newtonian fluid. Therefore, the impacts of heat absorption/generation and Joule heating in a magneto hydrodynamic flow of a Carreau nanofluid into a convergent channel with viscous dissipation are addressed in this mathematical approach. Brownian and thermophoresis diffusion are considered to investigate the behavior of temperature and concentration. The magnetic effects on the flow performance are measured. The leading nonlinear equations are solved numerically using the BVP4c solver and RK-4 (Runge–Kutta) along with the shooting algorithm using the computer software MATLAB. The obtained dual solutions are presented graphically. The consequences of the variable magnetic field, heat absorption/generation and numerous physical parameters on the temperature and concentration field are surveyed. The outcomes show that increasing the rates of the heat absorption/generation parameter and Eckert number enhances the thickness of the thermal profile of the convergent channels, while increasing the value of the Prandtl number expands the thickness of the momentum boundary layer of the convergent channels. The key findings related to the study models are presented and discussed. An assessment of solutions achieved in this article is made with existing data in the literature.

Impacts of various shaped Cu-nanomaterial on the heat transfer over a bilateral stretchable surface: Numerical investigation

The heat transport in the nanofluids attained much interest of the researchers and engineers due to broad uses in medical sciences, paint industries, aerodynamics, wheel alignment and manufacturing of aircraft parts. Therefore, keeping in mind the paramount significance of the heat transfer, the study of Cu-nanomaterials based nanofluid is conducted. The governing nanofluid model transformed in dimensionless version via similarity transformations. For numerical simulation of the dynamics of Cu-H2O, RK technique with shooting algorithm is employed and presented behavior of the fluid motion, temperature, wall shear stresses and local thermal performance rate via graphical aid. It is noted that the heat transfer augmented promptly by increasing [Formula: see text] and volumetric fraction of Cu nanomaterial. Further, graphical and tabular comparison is also provided under certain assumptions which authenticate the study.

Thermal transport investigation in AA7072 and AA7075 aluminum alloys nanomaterials based radiative nanofluids by considering the multiple physical flow conditions

Now a day’s variety of nanomaterials is available, among these Aluminum Alloys AA7072 and AA705 are significant due to their thermal, physical and mechanical characteristics. These extensively used in manufacturing of spacecraft, aircraft parts and building testing. Keeping in view the significance of nanoliquids, the analysis of methanol suspended by AA7072 and AA7075 alloys under the multiple physical flow conditions is reported. The model is successfully treated by coupling of RK and shooting algorithm and examined the results for the flow regimes by altering the ingrained physical parameters. Then physical interpretation of the results discussed comprehensively. To validate the analysis, a comparison between the presented and existing is reported under certain assumptions on the flow parameters. It is found that the results are reliable inline with existing once.

Optimized frame work for Reiner–Philippoff nanofluid with improved thermal sources and Cattaneo–Christov modifications: A numerical thermal analysis

This motivating analysis aims to present the thermal mechanism for mixed convection flow of Reiner–Philippoff nanofluid with assessment of entropy generation. The thermal performances of nanomaterials have been modified by utilizing the nonuniform heat source/sink, Ohmic dissipations and thermal radiation consequences. The assumed surface is assumed to be porous with non-Darcian porous medium. The modified Cattaneo–Christov relations are followed to modify the mass and heat equations. The invoking of similarity variables results in differential equations in nonlinear and coupled form. A MATLAB-based shooting algorithm is employed to access the numerical simulations. The physical aspect of thermal model is graphically addressed for endorsed flow parameters. The importance of entropy generation is visualized with associated mathematical relations and physical explanations. The numerical values are obtained for the assessment of heat and mass transfer phenomenon.

Direct optimal control for time-delay systems via a lifted multiple shooting algorithm

<p style='text-indent:20px;'>Aiming at efficient solution of optimal control problems for continuous nonlinear time-delay systems, a multiple shooting algorithm with a lifted continuous Runge-Kutta integrator is proposed. This integrator is in implicit form to remove the restriction of smaller integration step sizes compared with delays. A tangential predictor is applied in the integrator such that Newton iterations required can be reduced considerably. If one Newton iteration is applied, the algorithm has the same structure as direct collocation algorithms whereas derives a condensed nonlinear programming problem. Then, the solution of variational sensitivity equation is decoupled from forward simulation by utilizing the implicit function theorem. Under certain conditions, this function evaluation and derivative computation procedure is proved to be convergent with a global order. Complexity analysis shows that the computational cost can be largely reduced by this lifted multiple shooting algorithm. Then, parallelizable optimal control solver can be constructed by embedding this algorithm in a general-purpose nonlinear programming solver. Simulations on a numerical example demonstrate that the computational speed of multi-threading implementation of this algorithm is increased by <inline-formula><tex-math id="M1">\begin{document}$ 36\% $\end{document}</tex-math></inline-formula> compared with non-lifted one, and increased by a factor of <inline-formula><tex-math id="M2">\begin{document}$ 6.64 $\end{document}</tex-math></inline-formula> compared with traditional sequential algorithm; meanwhile, the accuracy loss is negligible.</p>

Thermal Transport Investigation in AA7072 and AA7075 Aluminum Alloys Nanomaterials Based Radiative Nanofluids by Considering The Multiple Physical Flow Conditions

In recent time, variety of nanomaterials have been reported in scientific literature, among these Aluminum Alloys AA7072 and AA705 are significant with thermal, physical and mechanical characteristics. These extensively used in manufacturing of spacecraft, aircraft parts and building testing. Keeping in view the significance of nanoliquids, the analysis of methanol suspended by AA7072 and AA7075 alloys under the multiple physical flow conditions is reported. The model is successfully treated by coupling of RK and shooting algorithm and examined the results for the flow regimes by altering ingrained physical parameters. Then physical interpretation of the results discussed comprehensively.

Entropy Generation in Magnetized Bioconvective Nanofluid Flow Along a Vertical Cylinder with Gyrotactic Microorganisms

This paper presents the analysis of thermal optimization in magnetic materials based on the entropy generation in a mixed convective MHD flow of an electrically conductive nano liquid having motile microorganisms together with a vertical cylinder. By using the convection boundary condition, the process of heat transport is examined in detail. With coupled linear boundary conditions the related equations (continuity, momentuum and energy) are reduced to five ODE’s. The RKF-4,5 method by shooting algorithm was employed to examine variation of physical parameters under study. The resuts of vital physical parameters on the wall friction, Nusselt number, mass flux, wall of motile microorganism flux, along with velocity profiles, temperature, concentration of nanopar-ticles, and density of motile microbes, were studied in detail. It is detected that heat transport rate is 0.81% greater for cylindrical surface compared to flat plate surface.