Numerical Solutions on Reiner–Philippoff (RP) Fluid Model with Velocity and Thermal Slip Boundary Condition

Abstract

Non-Newtonian fluid model was created against the Newton’s Law of viscosity where the viscosity is no more constant and dependent on the shear rate. The existing such fluid can be found in many industrial claims especially in food manufacturing, lubrication, biomedical flows and oil and gas. Besides, the used of non-Newtonian fluid occurs in mining industry where the slurries and muds are often handled. There are many models on non-Newtonian fluid available in literature where some of them capture the specific properties. The Reiner–Philippoff (RP) fluid model is considered in this endeavour due to the capabilities of the model which can be acted in three different family of fluid which are viscous, shear thickening and the shear-thinning. Mathematical model is constructed using continuity, momentum and energy equations where in form of partial differential equations (PDEs). The complexity of the proposed model is abridged by deduced the equations into ordinary differential equations (ODEs) by adopting similarity variables before the computation is done by bvp4c function drive in MATLAB software. To ratify the validity of the proposed model as well as numerical outputs, the comparative study is performed and it found to be in very strong agreement under limiting case where the present model is condensed to be identical with the reported model previously. The consequences of pertinent parameters on fluid’s characteristics are analyzed in details through the plotted graphic visuals and tabular form.

Cattaneo-Christov and Darcy-Forchheimer Heat Flux on Reiner-Philippoff Fluid with Velocity and Thermal Slip Boundary Condition Under Heat Sink/Source

“…As a result of the strong quantity of −𝜃′(0) radiation present in the experiment show a significant reduction in the performance of −𝜃′(0). The research had been observed in Table 4 of the present study as the value obtained in that table is in good agreement with that reported by [40,42].…”

“…Quantity of 𝑓′′(0) at 𝜀 = 𝜆 = 𝛾 = 1, 𝑃𝑟 = 2 for several values of S S Cortell [43] Ferdows et al [44] Waini et al [45] Noor Amalina [40] Present Result -0.…”

“…It has been shown that when a RP fluid model is applied to a fluid in which the dynamic viscosity is zero and the shear stress is reciprocal, the model turns out to be a Newtonian fluid, which has a dynamic viscosity other than zero and isn't Newtonian between two extreme shear stress boundaries. The governing collection of steady equations is expressed as [39][40][41].…”

“…The primary strength of this numerical analysis is the influence of physical aspects of the heat flow described by the Darcy-Forchheimer and Cattaneo-Christov equations on the RP Fluid model with the thermal slip BC and velocity subject to heat source/sink, which is motivated by the present studies while also filling a research gap. Only the numerical solutions to the R-P fluid model with velocity and the thermal slip BC were taken into account in a prior article by Noor Amalina Nisa Ariffin [37]. It's important to note that the most recent study is a generalisation of Kumar et al's earlier study [38].…”

Significance of Cattaneo-Christov Heat Flux on Chemically Reacting Nanofluids Flow Past a Stretching Sheet with Joule Heating Effect

“…Vaidya et al, [44] investigated the flow of reactive peristaltic nanofluid through an inclined channel under the influence of non-constant thermal conductivity and Vyakaranam [45] examined the Casson-based nanofluid in a permeable surface. A further study was carried out by Tan Jian et al, [46] to unravel the self-diffusion of nanoparticles by using dissipative particle dynamics. Recently, Oke et al, [47] explored the influence of thermal radiation on water-based nanofluids over an exponentially stretching and rotating plate.…”