Comparative study of heat and mass transfer of generalized MHD Oldroyd-B bio-nano fluid in a permeable medium with ramped conditions

Abstract

This article aims to investigate the heat and mass transfer of MHD Oldroyd-B fluid with ramped conditions. The Oldroyd-B fluid is taken as a base fluid (Blood) with a suspension of gold nano-particles, to make the solution of non-Newtonian bio-magnetic nanofluid. The surface medium is taken porous. The well-known equation of Oldroyd-B nano-fluid of integer order derivative has been generalized to a non-integer order derivative. Three different types of definitions of fractional differential operators, like Caputo, Caputo-Fabrizio, Atangana-Baleanu (will be called later as $$C,CF,AB$$ C , C F , A B ) are used to develop the resulting fractional nano-fluid model. The solution for temperature, concentration, and velocity profiles is obtained via Laplace transform and for inverse two different numerical algorithms like Zakian’s, Stehfest’s are utilized. The solutions are also shown in tabular form. To see the physical meaning of various parameters like thermal Grashof number, Radiation factor, mass Grashof number, Schmidt number, Prandtl number etc. are explained graphically and theoretically. The velocity and temperature of nanofluid decrease with increasing the value of gold nanoparticles, while increase with increasing the value of both thermal Grashof number and mass Grashof number. The Prandtl number shows opposite behavior for both temperature and velocity field. It will decelerate both the profile. Also, a comparative analysis is also presented between ours and the existing findings.

Closed-form solution of oscillating Maxwell nano-fluid with heat and mass transfer

“…Asjad et al 39 investigated the clay-nanoparticles of generalized Maxwell fluid in heat transmission via infinite flat surface. Wang et al 40 argued the Oldroyd-B nanofluid of MHD natural convection flow via permeable medium. Arif et al 41 studied the Maxwell hybrid nanofluid (engine oil) in vibratory vertical cylinder.…”

Linear stability analysis of electro‐convection in dielectric Oldroydian nanofluid

“…Comparing real and imaginary part of Equation (36), after some mathematical simplification, one getsthermal Rayleigh number of oscillatory modes as…”

“…Elanchezhian et al 35 investigated the Oldroyd‐B nanofluid flow across a stratified medium comprising motile gyrotactic bacteria and nanoparticles. Wang et al 36 conducted a comparative investigation of heat and mass transmission in a permeable medium with ramping circumstances using a generalized MHD Oldroyd‐B bio‐nanofluid. The impact of Brownian motion and thermophoresis on heat and mass transfer convection of fractional Oldroyd‐B nanofluid has been demonstrated by Zhao 37 and it was discovered that a rise in thermophoresis number increases the field of temperature profiles, but increasing Brownian motion causes the concentration to decrease.…”

A Group Theoretic Analysis of Mutual Interactions of Heat and Mass Transfer in a Thermally Slip Semi-Infinite Domain

“…Similarly, several textile materials and, more recently, ovens that are utilized as heat barrier materials are being investigated. As a result, due to its ever-increasing applications in industries and modern technology, the study of flow and heat transfer in porous media exposed to non-Newtonian and Newtonian fluid flows has gotten a lot of attention [31][32][33][34][35].…”