Jeffrey nanofluid flow near a Riga plate: Spectral quasilinearization approach

Abstract

This article attempts to report the flow mechanism of Jeffrey nanofluid flow on a Riga plate integrating the influences of viscous dissipation, irregular heat source/ sink, Brownian motion, and thermophoretic force. Nondimensionalization of mathematical model describing the flow system is accomplished by a set of compatible transformations. An accurate solution of ordinary differential equations is achieved by practicing spectral quasilinearization method. The present method is capable of giving results with good accuracy in few iterations, which infers speedy convergence. Solutionbased error norm (a measure of difference of approximate solution in two consecutive iteration level) is presented to authenticate precision of obtained approximate solution. The similarity between present approximate results and previously reported results is noted to check correctness. Obtained numerical solutions were replicated in a diagrammatic form to visualize the impact of flow parameters. Ratio of relaxation to retardation time produces an enhancing influence on momentum and nanoparticle concentration and a declining effect on the fluid temperature. Riga plate strengthens the momentum, which intensifies the transport of heat energy from boundary layer region, resulting in a reduction in fluid temperature. K E Y W O R D S convective boundary condition, electromagnetohydrodynamic, irregular heat generation/absorption, Jeffrey nanofluid, Riga plate, variable thermal conductivity

A Novel Multivariate Spectral Local Quasilinearization Method (MV-SLQLM) for Modelling Flow, Moisture, Heat, and Solute Transport in Soil

“…Then, starting from initial guesses, we obtain approximate solutions for uðx, z, tÞ, wðx, z, tÞ, Tðx, z, tÞ, θðx, z, tÞ, and Cðx, z, tÞ by iteratively solving the matrix equations ( 73), ( 81), ( 91), (99), and (107), in turn, for s = 0, 1, 2, ⋯. We only confirm convergence to the expected solutions by measuring the norm residual errors of the difference between successive iterations as defined in (64).…”

“…Motsa [63] presented and compared the spectral relaxation method (SRM) and spectral local quasilinearization method (SQLM) for solving unsteady boundary layer flow problems. Ansari et al [64] studied the Jeffrey nanofluid flow near a Riga plate using the SQLM. Motsa [63] and Magagula et al [65] proposed a bivariate-SQLM (BI-SQLM) to solve nonlinear PDEs.…”

Thermophoretic movement, heat source, and sink influence on the Williamson fluid past a Riga surface with positive and negative Soret‐Dufour mechanism

“…The similarity transformations employed on the controlling flow Equations (3)–(8), and the temperature‐dependent function for dynamic viscosity and thermal conductivity are: 10,17–19,26,29,32 $$$\begin{array}{rcl} &amp...$$…”

“…From their findings, the flow speed is found to improve by the direction of the force of Lorentz towards the mainstream speed. Impacts of both modified heat flux and Riga plate are elucidated in the examination of combined joule heating and viscous dissipation by Shamshuddin et al 13,14 Recent investigations on the Riga surface impact include Gireesha et al, 15 Shah et al, 16 Abdul Hakeem et al, 17 Fatunmbi and Adeosun, 18 Ansari et al, 19 Eid 20 and so on.…”