2023
DOI: 10.1002/zamm.202100386
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Homogeneous–heterogeneous reactions for Maxwell nanofluid flow over an elongating cylindrical pipe via finite element method

Abstract: Homogeneous-heterogeneous chemical reactions in simultaneous heat and mass transport for Maxwell fluid subjected to thermophoresis and Brownian motion are modeled and governing mathematical models are simplified using approximations proposed models are simplified using approximations proposed by Ludwing Prandtl. The simplified governing mathematical models under Buongiorno's theory are numerically solved via finite element method (FEM). The convergence and mesh free solution are solved for parametric study. Th… Show more

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Cited by 7 publications
(2 citation statements)
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“…Mathematical modelling for such a mechanism is computed under boundary layer supposition. Upon utilizing appropriate transformations nonlinear ordinary differential system is generated from governing partial differential system which further solved by a numerical technique named Finite Element Technique [39][40][41]. The properties of numerous effective variables are graphically sketched and analyzed.…”
Section: Introductionmentioning
confidence: 99%
“…Mathematical modelling for such a mechanism is computed under boundary layer supposition. Upon utilizing appropriate transformations nonlinear ordinary differential system is generated from governing partial differential system which further solved by a numerical technique named Finite Element Technique [39][40][41]. The properties of numerous effective variables are graphically sketched and analyzed.…”
Section: Introductionmentioning
confidence: 99%
“…Fractional calculus is applied in physics, engineering, biology, economics, and signal processing. [3][4][5][6] It has been utilized to simulate various processes, including particle diffusion, fluid flow in porous materials, complex system behavior, biological system dynamics, and nonlinear system control. [7][8][9] and application of fractional calculus in scientific and engineering fields.…”
Section: Introductionmentioning
confidence: 99%