Chemically radiative and mixed convection solute transfer in boundary‐layer flow of Jeffrey nanofluid along an inclined stretching cylinder with joule heating and double stratification impacts.

An endeavor is consummate to study the steady mixed convection solute transfer in two‐dimensional viscous fluid. A joule heating incompressible flow along an inclined stretching cylinder and double stratification impact on Jeffrey Nanofluid is scrutinized. Acquired nanomaterial pattern comprises the phenomena of thermophoresis and Brownian motion. By applying rule of approximation transformation, the nonlinear PDEs converted into ODEs. Shooting via Newton Raphson technique is used to solve the ODE'S with boundary conditions into initial conditions, also applying Runge–Kutta–Fehlberg technique of fourth order for numerical purpose. Computation (−1/2Rex0.5Cfx)$(-1/2 Re_{x}^{0.5}C_{f_x })$ for skin friction, (−Nrθ′(0)$-N_{r}\theta ^{^{\prime }}(0)$) for Nusselt, and (−ϕ′(0))$(-\phi ^{^{\prime }}(0))$ for Sherwood number are fetched in table format by using mathematical software Matlab. The results reveal that M (0, 0.3, 0.6, 0.9), γ (0.1, 0.3, 0.7, 1.3), and α (0,π/4,π/3,5π/4)$(0, \pi /4, \pi /3, 5\pi /4)$ will increase (−1/2Rex0.5Cfx)$(-1/2 Re_{x}^{0.5}C_{f_x })$ upto 7.51, 8.55, and 10.27%, respectively. The behavior of Nt$N_t$ on −Nrθ′(0)$-N_{r}\theta ^{^{\prime }}(0)$ and (−ϕ′(0))$(-\phi ^{^{\prime }}(0))$ falling off upto 11.20 and 28.38%, respectively with the increase of Nt$N_t$, but in Nb$N_b$ shows opposite reaction on Sherwood number. It is culminated that (f′(η))$(f^{\prime }(\eta))$ for velocity augments with the value of Deborah number of four different sizes (0.8, 1.1, 1.4, and 1.7) upto 14.28, 16.6, and 20% while situation is reversed in case of magnetic factor (0, 0.3, 0.6, 0.9) upto 20, 28.12, and 39.13%. Effect of θ(η)$\theta (\eta)$ for temperature enhanced with the value of Brownian motion on (0.0, 0.2, 0.4, and 0.6), about 16.66, 20, and 25%, respectively. The maximum effect percentage with radiation factor on θ(η)$\theta (\eta)$ is 39 and minimum percentage is 25.71. Eckert number on (− 4, 0, 4, 8) and thermophoresis on (−0.2,−0.1,0.1,0.2)$(-0.2, -0.1, 0.1, 0.2)$ diminished with pile‐up Prandtl number on (1.2, 1.5, 1.8, and 2.1). Impact of (ϕ(η))$(\phi (\eta))$ for concentration and local Sherwood number showed reverse situation on Schmidt number. [ABSTRACT FROM AUTHOR]