The Boundary Layer Flow, Heat and Mass Transfer beyond an Exponentially Stretching/Shrinking Inclined Sheet

Abstract

The characteristics of heat and mass transmission, together with the features of fluid flow where the fluid is bounded by a stretching/shrinking sheet are influenced by the rotation angle of the sheet. In addition, the comparison between two conditions of stretching/shrinking sheet, known as: 1. normal position of sheet (zero rotation), 2. when it is inclined, contribute significant applications in science and technology, especially in experimental and theoretical research. According to this fact, this paper examines the impact of stretching and shrinking parameters acting on the inclined sheet, which contribute to the changes on the flow, heat and mass transfer in a Newtonian fluid. The variations of velocity, temperature and concentration of Newtonian fluid also being observed. The momentum, energy and concentration equations are acting as the controlling equations and written as partial differential equations (PDE). Subsequently, these equations were transformed into the ordinary differential equations (ODE) by using the similarity transformation. Finally, the ODE is solved numerically by bvp4c program in Matlab software. Dual numerical solutions are obtained in this paper, and presented in the figure form. The features of flow pattern, heat and mass transfer are described in details, together with the profiles of velocity, temperature and concentration of the related fluid. As a result, it is found that rate of skin friction coefficient, local Nusselt number, and local Sherwood number are reduced with the addition of inclination angle. On the other hand, velocity profile and the local Nusselt number are enhanced due to the impact of stretching rate at the inclined sheet.

Numerical study of mixed convection and buoyancy ratio on MHD fluid flow beyond an inclined sheet

“…The calculation of the wall temperature gradient is presented by the relation N x / √ Re x = − x/2L θ ′ (0), which has been simplified in [34]. Moreover, those principles agree with the findings of Azmi et al [ 29] and Magyari and Keller [41]. Both solutions in all the figures completely satisfy the final boundary conditions at the instantaneous points η = 0 and η → ∞.…”

“…The extension compared to the previous work [29] is added with the magnetic field effect, and β 0 is the magnetic field. Here ν = µ/ρ is the kinematic viscosity, ρ is the fluid density, µ is the viscosity, β c is the solutal expansion coefficient, β T is the thermal expansion coefficient, T is the fluid temperature, C is the fluid concentration, σ is the electrical conductivity, α is the angle between the vertical and the sheet, D m is the solutal diffusivity of the medium, k is the thermal conductivity, K T is the thermal diffusion ratio, C p is the specific heat at a constant pressure, C s is the concentration susceptibility, and T m is the average fluid temperature.…”

“…Mixed convection boundary layer flows, on the other hand, have a wide range of industrial applications, including central solar receivers, heat exchangers, nuclear reactors, and electronic devices [14]. The research works related to mixed convection have been published, where the effect of different parameters is considered [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30]. Khan et al [14] investigated the effect of heat absorption/generation in a nanofluid flow beyond an oscillatory stretching sheet.…”

“…Hayat et al [27] and Moshizi et al [28] worked with Prandtl fluid and MHD nanofluids, respectively, and both of them considered peristaltic flow. The inclination angle of the stretching or shrinking sheet from the horizontal plane in a Newtonian fluid is studied by Azmi et al [29]. Meanwhile, the inclined factors of the shrinking sheet and magnetic field in Casson fluid movement, temperature, and mass transfer have been obtained by Parvin et al [30].…”

“…This paper is focused on the effect of the mixed convection and buoyancy ratio on a magnetohydrodynamic fluid flow beyond an exponentially shrinking inclined sheet, where the governing equations are a modified version from [29]. According to the author's observation, the calculation of stability analysis in the system of the transverse magnetic field of Newtonian fluid bounded by an exponentially inclined sheet is still not reported.…”