Interpretation of infinite shear rate viscosity and a nonuniform heat sink/source on a 3D radiative cross nanofluid with buoyancy assisting/opposing flow

Abstract

With respect to bionomical concerns and energy security, the performance of refrigeration systems should be enriched, which can be done by improving the characteristics of working liquids. Nanoliquids have attracted interest in the fields of engineering and industry due to their prominent thermophysical characteristics. Researchers have used nanoliquids as working liquids and noticed significant fluctuations in thermal execution. In this study, our prime aim was to study the impact of thermal radiation and varying thermal conductivity on a cross‐nanofuid with the addition of a nonuniform heat sink–source, chemical process, and activation energy (AE) together with effects of assisting and opposing buoyancy. Furthermore, the relationship of zero‐mass flux together with the mechanism of thermophoresis and Brownian motion is considered. Traditionalistic transformations gave the ordinary differential equations (ODEs), which are further dealt with the approach of the Shooting Scheme to change the boundary value problem (BVP) into an initial value problem (IVP) and a numerical comparison is made with the Matlab solver package bvp4c. Bvp4c is based upon a collocation scheme, which yields numeric outcomes for nonlinear ODEs with IVP. Impacts of the involved parameters on mass transfer profile, heat, and momentum fields are shown through graphs. Mass transfer of the cross nanofluid increases with increasing values of AE parameter. Values of physical quantities like drag forces, rate of transport of heat and mass in the case of assisting/opposing flow are tabulated. The drag force magnitudes are greater for enhancing values of M, a, and n, while on the other hand, the opposing tendency is seen for We1 and We2. The magnitude of the rate of heat transport (Nusselt number) falls for greater values of m, σ, δ, and Nt, but in contrast, it accelerates for E, Pr, and n.

Stochastic Numerical Investigations for a Food Web System of Prey-Predation, Competition and Commensalism

“…In future, the design of LMB neural network can be applied to solve the fluid dynamical [56][57][58][59][60] and fractional systems [61][62][63][64].…”

On heated surface transport of heat bearing thermal radiation and MHD Cross flow with effects of nonuniform heat sink/source and buoyancy opposing/assisting flow

“…In this methodology, the first attempt was taken that both differential equations (18) and (19) are broken down into a system of five concurrent equations of first‐order bearing five strangers. For solving this system through R‐K F45 methodology, 37–42 the utilization of end conditions develops into two foreign initial conditions at η = 0 with the assistance of scheme of shooting. The most vital ingredient of this methodology is to pick the suitable finite delimited value of .…”

Energy transference in time‐dependent Cattaneo–Christov double diffusion of second‐grade fluid with variable thermal conductivity

“…Nonlinear ODEs appearing in ( 18)-( 20) with boundary conditions in (21) are fetched numerically by the MATLAB scheme [26][27][28][38][39][40][41][42][43] as follows: This method bvp4c is utilized with error analysis of 10 −6 .…”