Oblique Stagnation Point Flow of Nanofluids over Stretching/Shrinking Sheet with Cattaneo–Christov Heat Flux Model: Existence of Dual Solution

Abstract

In the present work we consider a numerical solution for laminar, incompressible, and steady oblique stagnation point flow of Cu − water nanofluid over a stretching/shrinking sheet with mass suction S . We make use of the Cattaneo–Christov heat flux model to develop the equation of energy and investigate the qualities of surface heat transfer. The governing flow and energy equations are modified into the ordinary differential equations by similarity method for reasonable change. The subsequent ordinary differential equations are illuminated numerically through the function bvp4c in MATLAB. The impact of different flow parameters for example thermal relaxation parameter, suction parameter, stretching/shrinking parameter, free stream parameter, and nanoparticles volume fraction on the skin friction coefficient, local Nusselt number, and streamlines are contemplated and exposed through graphs. It turns out that the lower branch solution for the skin friction coefficient becomes singular in shrinking area, although the upper branch solution is smooth in both stretching and shrinking domain. For oblique stagnation-point flow the streamlines pattern are not symmetric, and reversed phenomenon are detected close to the shrinking surface. Also, we observed that the free stream parameter changes the direction of the oncoming flow and controls the obliqueness of the flow. The existing work mostly includes heat and mass transfer as a mechanism for improving the heat transfer rate, which is the main objective of the authors.

Numerical study of activation energy and thermal radiation effects on Oldroyd‐B nanofluid flow using the Cattaneo–Christov double diffusion model over a convectively heated stretching sheet

“…Anjum et al 24 modeled the flow of a second‐grade fluid with the Cattaneo–Christov model past a Riga‐plate. Li et al 25 analyzed the Cu–water nanofluid flow over a stretching or shrinking sheet with the Cattaneo–Christov model. Reddy et al 26 studied the heat transfer characteristics of Prandtl non‐Newtonian nanofluid flow induced by a moving sheet with the Cattaneo–Christov heat flux model with the state of zero mass flux at the surface.…”

Cattaneo–Christov double‐diffusion model with Stefan blowing effect on copper–water nanofluid flow over a stretching surface

“…Hayat et al 47 studied the flow of a Jeffrey fluid toward a stagnation point on a stretchable surface in a double stratification medium with the C–C model. Li et al 48 gave the dual solutions for suction effects on the flow of a copper–water nanofluid near stagnation point over a stretching/shrinking sheet with the C–C model. Hayat et al 49 addressed the flow of a second‐grade fluid sandwiched between two parallel plates in the presence of heat generation/absorption and the C–C model.…”

Stability Analysis and Dual Solutions of Micropolar Nanofluid over the Inclined Stretching/Shrinking Surface with Convective Boundary Condition

“…Raju et al [32] investigated nanofluid over non-linear stretching surface and found dual solutions. Oblique stagnation point flow of nanofluid on shrinking surface was examined by Li et al [33] and successfully noticed dual solutions in the range of stretching/shrinking parameter. Nanofluid with the effect of Soret and Dufour was investigated and noticed a dual solution without performing the analysis of the stability of the solutions [34].…”