Effects of multislip and distinct heat source on MHD Carreau nanofluid flow past an elongating cylinder using the statistical method

Abstract

This study focuses on studying the impact of multiple slip effects on the hydromagnetic Carreau nanofluid flow over an elongating cylinder considering a linear heat source and exponential space‐based heat source. Suitable transformations are used in converting the highly nonlinear system of partial differential equations governing the flow into a system of ordinary differential equations and hence resolved using the Runge–Kutta method of order four coupled with the shooting method. BVP5C and RKF45 are used to compare the numerical accuracy and an excellent agreement is noted. The parallel effect of parameters on Nusselt number is studied using surface plots and the corresponding effects are scrutinized using multiple linear regression. It is observed that the linear heat source parameter, thermal slip parameter and exponential space‐based heat source parameter demote the heat transfer rate. The consequence of different parameters on drag coefficient and mass transfer are quantified using a linear regression slope.

Transport phenomena in hydromagnetic convective Carreau nanoliquid flow over an elongating cylinder: A statistical approach

“…The validation of the numerical technique has been adjudged through restrictive studies of Khan and Pop [43] and Wang [44] (displayed in Table 1). For stronger validation, the skin friction coefficient has been compared with the work of Sabu et al [40] (see Table 2).…”

“…The governing equations [23, 24, 33, 40] are given by: $$$$\begin{equation}\frac{{\partial \left( {ru} \right)}}{{\partial x}} + \ \frac{{\partial \left( {rv} \right)}}{{\partial r}} = 0\ \end{equation}$$$$ $$$$\begin{eqnarray} u\frac{{\partial u}}{{\partial x}} + v \frac{{\partial u}}{{\partial r}} &=& \frac{{{\vartheta }_f}}{r}\ \frac{{\partial u}}{{\partial r}}{\left( {1 + {{{\Gamma}}}^2{{\left( {\frac{{\partial u}}{{\partial r}}} \right)}}^2} \right)}^{\frac{{n - 1}}{2}} + {\vartheta }_f\frac{{{\partial }^2u}}{{\partial {r}^2}}{\left( {1 + {{{\Gamma}}}^2{{\left( {\frac{{\partial u}}{{\partial r}}} \right)}}^2} \right)}^{\frac{{n - 1}}{2}}\nonumber\\ && + \ {\vartheta }_f\...$$…”

“…The corresponding boundary conditions are (see [40]): $$$$\begin{equation} \left. \def\eqcellsep{&}\begin{array}{c} u = \displaystyle\frac{{ax}}{l}\ + {N}_1\frac{{\partial u}}{{\partial r}}{{\left( {1 + {{{\Gamma}}}^2{{\left( {\frac{{\partial u}}{{\partial r}}} \right)}}^2} \right)}}^{\frac{{n - 1}}{2}},\ v = 0,\\ [18pt] T = {T}_w\ + {N}_2\displaystyle\frac{{\partial T}}{{\partial r}},\ C\ = {C}_w\ + {N}_3\frac{{\partial C}}{{\partial r\ }}\ {\rm{when}}\ r = R\\ [18pt] u \to 0,\ T \to {T}_\infty ,\ C \to {C}_\infty \ {\rm{when}}\ r \to \infty \end{array} \right\} \end{equation}$$$$…”

“…For stronger validation, the skin friction coefficient has been compared with the work of Sabu et al. [40] (see Table 2).…”

Statistical analysis on the stratification effects of bioconvective EMHD nanofluid flow past a stretching sheet: Application in theranostics

“…The pertinent flow parameters are taken as the independent variables and physical quantities (like, drag coefficient, mass transfer rate, or heat transfer rate) are chosen as the dependent variable. Studies utilizing statistical approaches can be found in References [33][34][35][36].…”