stretching/shrinking sheet

Haar wavelet collocation method for solving stagnation point flow over a nonlinearly stretching/shrinking sheet in a carbon nanotube with slip effect

This paper investigates the influence of slip effect on a stagnation point flow towards a shrinking/stretching sheet in carbon nanotube.  The governing system of the partial differential equation is converted into a set of nonlinear ordinary differential equations by using a similarity transformation.  The nonlinear ordinary differential equations are then solved numerically by Haar wavelets collocation method.  The influence of the various parameters on the characteristics of the fluid flow and heat transfer is analyzed.  Results are presented in terms of the skin fric

Stagnation-point flow and heat transfer over an exponentially shrinking/stretching sheet in porous medium with heat generation

This study seeks to examine the fluid flow at the stagnation point over an exponentially shrinking and stretching sheet in a porous medium.  This study also investigates the heat transfer rate in the presence of heat generation.  By using the appropriate similarity transformation, we obtained ordinary differential equations (ODEs) that are reduced from the governing system of partial differential equations (PDEs).  These resulting equations are subjected to new boundary conditions and solved numerically by using BVP4C in MATLAB software.  The effects of the parameters i

Numerically investigating the effects of slip and thermal convective on nanofluid boundary layer past a stretching/shrinking surface

The study is focusing on the steady boundary layer flow, heat and mass transfer passing through stretching/shrinking sheet immersed in nanofluid in the presence of the second order slip velocity and thermal convective at the boundary.  The governing partial differential equations are converted into ordinary differential equations by applying the similarity variables before being solved computationally using bvp4c function in Matlab software.  The results of skin friction, heat transfer as well as mass transfer coefficient on the governing parameter such as the first ord

Three-dimensional rotating viscous flow past a permeable stretching/shrinking sheet with convective boundary condition

The study of three-dimensional rotating boundary layer flow approaching a stretching or shrinking surface under convective boundary conditions is presented in this paper.  This study expands the scope of previous researchers' work to encompass broader scenarios, including situations involving mass transfer (suction) on the wall, the Biot number and cases featuring a shrinking surface.  It is found that the increase of suction and rotating parameters leads to a noticeable rise in both the local skin friction coefficients and the local Nusselt number, and the solutions to the governing ordina

Ternary hybrid nanofluid flow caused by thermal radiation and mass transpiration in a porous stretching/shrinking sheet

In the current analysis, ternary hybrid nanofluid flow with heat transfer under the influence of transpiration and radiation is explored.  Partial differential equations (PDEs) of the current work are mapped by using a similarity variable to convert into ordinary differential equations (ODEs) form.  The volume fractions of the ternary hybrid nanofluid are used in the entire calculation to achieve better results.  The exact investigation of the momentum equation produces the domain value.  The impact of thermal radiation  is considered under energy equation and solved analytically with solut

MHD stagnation point flow over a stretching or shrinking sheet in a porous medium with velocity slip

Magnetohydrodynamics (MHD) stagnation point flow in a porous medium with velocity slip is investigated in this study.  The governing system of partial differential equations is transformed into a set of non-linear ordinary differential equations by using the similarity transformation.  Subsequently, the transformed equations are numerically solved by using the shooting method in MAPLE software.  The skin friction coefficient and the local Nusselt number are obtained and presented graphically.  The effects of the governing parameters including the velocity slip, magnetic and permeability par

Double solutions and stability analysis of slip flow past a stretching/shrinking sheet in a carbon nanotube

A stagnation point flow past a stretching/shrinking surface in carbon nanotubes (CNTs) with slip effects is investigated in this paper.  Applying transformations of similarity, the governing partial differential equations are modified to the nonlinear ordinary differential equations.  Afterward, they are numerically solved in Matlab by the bvp4c solver.  The single-wall CNTs and multi-wall CNTs are used, including water as a base fluid.  The effects of the flow parameters are investigated, shown in the form of graphs, and physically evaluated for the dimensionless velocity, temperature, ski

Effect of suction and MHD induced Navier slip flow due to a non-linear stretching/shrinking sheet

In this study, a problem of a magnetohydrodynamic (MHD) induced Navier slip flow over a non-linear stretching and shrinking sheet with the existence of suction is considered.  Similarity transformation is used to transform the governing nonlinear partial differential equations into a system of nonlinear ordinary equations.  The transformed ordinary differential equations are then solved by using the Shooting Method in Maple software.  Dual solutions are obtained for certain governing parameters.  The results obtained show that suction improves skin friction, while the slip parameter reduces