Free Convective Heat Transfer of MHD Dissipative Carreau Nanofluid Flow Over a Stretching Sheet

Abstract

Nowadays external magnetic fields are capable of setting the thermal and physical properties of magnetic-nanofluids and regulate the flow and heat transfer characteristics. The strength of the applied magnetic field affects the thermal conductivity of magnetic nanofluids and makes it aeolotropic. With this incentive, we investigate the flow and heat transfer of electrically conducting liquid film flow of Carreau nanofluid over a stretching sheet by considering the aligned magnetic field in the presence of space and temperature dependent heat source/sink and viscous dissipation. For this study, we considered kerosene as the base fluid embedded with the silver (Ag) and copper (Cu) nanoparticles. Numerical results are determined by employing Runge-Kutta and Newton's methods. Graphs are exhibited and explained for various parameters of interest. The influence of pertinent parameters on reduced Nusselt number, flow and heat transfer is discussed with the assistance of graphs and tables. It is found that thermal boundary layer of Ag-kerosene nanofluid is highly effective when compared with the Cu-kerosene nanofluid. It is also found that the thermal and momentum boundary layers of Cu-kerosene and Ag-kerosene nanofluids are not uniform.

Numerical solutions of the partial differential equations for investigating the significance of partial slip due to lateral velocity and viscous dissipation: The case of blood‐gold Carreau nanofluid and dusty fluid

“…Distribution of temperature shown in Figure 7 is found to be an increasing property of E c . The results of Raju and Sandeep [58], Venkateswarlu and Satya Narayana [75], Sheikholeslami and Ganji [68], and Sandeep et al [63] corroborate with the result that temperature function grows with Eckert number due to increasing accumulation of heat energy as a result of frictional heating. For the second case,…”

“…Distribution of temperature shown in Figure 7 is found to be an increasing property of E c . The results of Raju and Sandeep [58], Venkateswarlu and Satya Narayana [75], Sheikholeslami and Ganji [68], and Sandeep et al [63] corroborate with the result that temperature function grows with Eckert number due to increasing accumulation of heat energy as a result of frictional heating. For the second case, M = λ = n = 0.1, m = 0.2, P r = 1, Gr m = 3, α = 0.05, β 1 = 1, β 2 = 0.1, χ = 0.3, ℏ = 0.001, at various values of E c were adopted to simulate the impact of E c on the flow of air‐dust particles mixture.…”

Heat Transfer and Flow Analysis of Magnetohydrodynamic Dissipative Carreau Nanofluid over a Stretching Sheet with Internal Heat Generation

“…Tables 2 and 3 show the comparison of the results of numerical methods (NM) and that of DTM. The obtained results using DTM are in very good agreements with the Table 2 Physical parameter values of f ′′ (0) and −θ ′ (0) for Cu-Kerosene nanofluid results of the numerical method (NM) using Runge-Kutta coupled with Newton method as presented by Kumar and Kumar (2017). The high accuracy of DTM gives high confidence about validity of the method in providing solutions to the problem.…”

Buoyancy Ratio and Heat Source Effects on MHD Flow Over an Inclined Non-Linearly Stretching Sheet

“…Extensive discussion of other applications recently studied by several researchers over stretching sheet which includes Sisko fluid flow employing Homotopy Analysis Method (HAM) Khan and Shahzad (2012), Second grade MHD fluid flow using Runge-Kutta (RK) sixth order integration scheme Das et al (2016), considered semi-infinite inclined and ideally transparent flat plate embedded in a porous medium with an Implicit finite difference scheme (IFDM), mixed convective couple stress fluid flow in a vertical channel with HAM by Kaladhar and Srinivasacharya (2014) and Prandtl-Eyring fluid flow with Keller-Box Method (KBM) Hussain et al (2017). Further a significant amount of research on Newtonian and non-Newtonian fluid flows over stretching sheet were found in (Akbar et al, 2016;Kumar et al, 2017;Chamkha et al, 2010;Reddy and Gorla, 2017).…”