Melting heat transmission of Maxwell nanofluid flow caused due to a stretchable cylindrical pipe through Finite Element Technique

Author:

Saif Rai Sajjad1ORCID,Alhowaity Awatif2,Afzaal Muhammad F.3,Mahrous Yussri Mohammad4,Muhammad Taseer5

Affiliation:

1. Department of Humanities and Sciences School of Electrical Engineering and Computer Science (SEECS) National University of Sciences and Technology (NUST) Islamabad Pakistan

2. Department of Mathematics University of Jeddah Jeddah Saudi Arabia

3. Division of Physical Sciences and Engineering King Abdullah University of Science and Technology Thuwal Saudi Arabia

4. Department of Studies and Basic Sciences Applied College University of Tabuk Tabuk Saudi Arabia

5. Department of Mathematics College of Sciences King Khalid University Abha Saudi Arabia

Abstract

AbstractThe objective of current investigation is to examine Maxwell fluid flow generated by cylindrical stretching pipe. Thermophoresis and Brownian moment phenomena will also incorporate on the said fluid. Melting heat shifting phenomenon incorporated at the surface of the elongating cylinder. Mathematical formulation is supported by boundary layer assumption. Suitable similarity transformations diminishes model of nonlinear partial differential equations  into a model of nonlinear ordinary differential equations  that ultimately solved via numerical technique named Finite Element Technique. The properties of numerous effective variables are graphically displayed and examined. Further the physical quantities like velocity gradient, heat and mass fluxes are tabulated numerically and analyzed. The dimensionless temperature distribution rises for rising values of curvature parameter and Brownian motion parameter however an opposite behavior is observed for melting parameter and Prandtl number. Moreover, a reduction occurs in heat and mass fluxes for sufficiently high values of curvature parameter.

Funder

King Khalid University

Publisher

Wiley

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