New solutions of fractional Maxwell fluid with ternary-hybrid nanoparticles

Abstract

This paper is about Maxwell fluid over a vertical heated wall having an infinite length. A mathematical model which includes heat, velocity, and concentration profile is obtained and is converted into dimensionless equations by mean of various different parameters. Fractional model based on generalized Fourier and Fick’s law are considered in order to address the accurate memory concept of the flow problem. For analytical solutions, Prabhakar fractional operator is utilized to get results for energy, velocity, and concentration field. The effect of various parameters involved is shown with the help of graph by assigning different values to parameters. The fractional method can lay out modern vision for analytical results which causes the understanding of the consequences less complex. For the accuracy and validation recently published work retrieved as a limiting case. Addition of concentration of ternary hybrid nanofluid is a source of improving base fluid properties. The usage of Prabhakar operators displays the probability of a suitable choice of fractional parameters so that it is more appropriate in between experimental and theoretical facts.

Keywords

• Mittag-Leffler function
• Natural convection
• Maxwell fluid
• Ternary-hybrid nanofluid
• Prabhakar derivative