Casson nanoliquid film flow over an unsteady moving surface with time-varying stretching velocity

Abstract

Present study explains about unsteady Casson nanoliquid film flow over a surface moving with velocity $$U_w=\lambda x/t$$ U w = λ x / t . The governing momentum equation is reduced to ODE by using corresponding similarity transformation, which is then tackled by employing numerical technique. The problem is analysed for both two-dimensional film flow and axisymmetric film flow. The exact solution is derived which satisfies the governing equation. It is noted that solution exists only for a specified scale of the moving surface parameter $$\lambda$$ λ . ie., $$\lambda \ge -1/2$$ λ ≥ - 1 / 2 for two-dimensional flow and $$\lambda \le -1/4$$ λ ≤ - 1 / 4 for axisymmetric flow. The velocity increases first and reaches the maximum velocity and then decreases to the boundary condition. Streamlines are also analysed for both axisymmetric and two-dimensional flow patterns by considering the stretching ($$\lambda >0$$ λ > 0 ) and shrinking wall conditions ($$\lambda <0$$ λ < 0 ). Study has been made for large values of wall moving parameter $$\lambda$$ λ . The aim of this investigation is to analyse the Casson nanoliquid film flow which finds applications in industries like coating of sheet or wire, laboratories, painting, many more.

Three-dimensional MHD Casson Nanofluid Flow Over a Moving Surface in the Presence of Heat Generation and Convective Boundary Conditions

“…The analytical solution using HAM is compared with numerical solution using MATHEMATICA NDSolve technique are shown in graphs 28 and 29. Also we compared our solutions with existing solution of Ahmad et al [31] and we observe that in the limiting cases our values matches with their values as shown in the table 1.…”

“…The effect of incompressible Casson nanofluid flow past a stretching/shrinking surface with heat radiation and mass transfer parameter is studied by Mahabaleshwar et al [30]. Recently, Vanitha et al [31] investigated the unsteady casson nanofluid over a moving surface. In this paper, we analyzed the magnetohydrodynamic boundary layer flow of threedimensional Casson nanofluid model with convective boundary conditions and heat generation over a moving surface.…”

Film Flow of Nano-Micropolar Fluid with Dissipation Effect

“…Reference [53]: This study focused on Casson nanofluid, further advancing the understanding of thin film flow behavior.…”

An MHD boundary layer flow of Casson fluid due to a moving wedge analyzed by the Bernoulli wavelet method

“…The issue under investigation of Amar et al [35] was the effects of viscous dissipation, thermal radiation, and internal heat generation/absorption on the MHD heat transfer flow of Casson fluid across a moving wedge with convective boundary condition and inferred that velocity rises and temperature declines with increase in velocity ratio factor of a moving wedge. Two-dimensional and axisymmetric flow has been examined in a Casson film flowing with unsteady velocity by Vanitha et al [36]. Mukhopadhyay et al [37] has investigated Casson fluid flowing over a symmetric wedge.…”

“…Two‐dimensional and axisymmetric flow has been examined in a Casson film flowing with unsteady velocity by Vanitha et al. [36]. Mukhopadhyay et al.…”