Doubly stratified non-Newtonian nanofluid flow featuring nonlinear convection

Shahzadi, Iqra; Kausar, Nabeela

doi:10.1108/hff-04-2019-0351

Cited by 4 publications

(2 citation statements)

References 25 publications

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“…In the future, the design computing spline swarm paradigm CSA-GA-SQP is a promising alternative numerical solver to be implemented for the solution of stiff nonlinear systems representing the complex scenarios of computational fluid dynamics problems [63][64][65][66][67][68][69][70].…”

Section: Discussionmentioning

confidence: 99%

Design of Spline–Evolutionary Computing Paradigm for Nonlinear Thin Film Flow Model

2021

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A novel design of stochastic numerical computing method is introduced for computational fluid dynamics problem governed with nonlinear thin film flow (TFF) system by exploiting the competency of polynomial splines for discretization and optimization with evolutionary computing aided with brilliance of local search. The TFF model of second grade fluid is represented with nonlinear second-order differential system. The aim of the present work is to exploit the cubic spline approach (CSA) to transform the differential equations for TFF model into an equivalent set of nonlinear equations. The approximation in mean squared error sense is introduced for the formulation of cost function for solving the nonlinear system of equations representing TFF model. The optimization of the decision variables of the cost function is carried out with global search efficacy of evolution by genetic algorithms (GAs) integrated with sequential quadratic programming (SQP) for speedy adjustments. The designed spline-evolutionary computing paradigm, CSA-GA-SQP, is evaluated for different scenarios of TFF model by variation of second grade and magnetic parameters, as well as variation in the length of splines. Results endorsed the worth of CSA-GA-SQP solver as an efficient alternative, reliable, stable, and accurate framework for the variants of nonlinear TFF systems on the basis of multiple autonomous executions. The design computing spline paradigm CSA-GA-SQP is a promising alternative numerical solver to be implemented for the solution of stiff nonlinear systems representing the complex scenarios of computational fluid dynamics problems.

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Section: Discussionmentioning

confidence: 99%

Design of Spline–Evolutionary Computing Paradigm for Nonlinear Thin Film Flow Model

2021

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“…The asymmetrical channel peristaltic flow of a non-Newtonian Casson fluid with applications in refinement of crude oil was mathematically interpreted by Akbar [4]. Further, some more fruitful articles on flow of non-Newtonian fluids across channels with sinusoidally deformable walls is provided [5][6][7][8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Mathematical computations for Peristaltic flow of heated non-Newtonian fluid inside a sinusoidal elliptic duct

et al. 2020

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This research work interprets the mathematical study of peristaltic flow of non-Newtonian fluid across an elliptical duct. The heat transfer mechanism for this elliptical duct problem is also considered in detail. The mathematical equations for Casson fluid model are developed and then by using appropriate transformations and long wavelength approximation, this mathematical problem is converted into its dimensionless form. After converting the problem in dimensionless form, we have obtained partial differential equations for both velocity and temperature profiles. These partial differential equations are solved subject to given boundary conditions over elliptical cross sections and exact mathematical solutions are obtained. The results are further discussed by plotting graphical results for velocity, pressure gradient, temperature, pressure rise and streamlines.

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A significant wave form analysis on the peristaltic flow in a duct with convection and diffusion effects

Nadeem

Almutairi

Akhtar

2023

Waves in Random and Complex Media

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Doubly stratified non-Newtonian nanofluid flow featuring nonlinear convection

Cited by 4 publications

References 25 publications

Design of Spline–Evolutionary Computing Paradigm for Nonlinear Thin Film Flow Model

Design of Spline–Evolutionary Computing Paradigm for Nonlinear Thin Film Flow Model

Mathematical computations for Peristaltic flow of heated non-Newtonian fluid inside a sinusoidal elliptic duct

A significant wave form analysis on the peristaltic flow in a duct with convection and diffusion effects

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