A numerical study of boundary layer flow of viscous incompressible fluid past an inclined stretching sheet and heat transfer using nonpolynomial spline method

Abstract

In the present paper, we study the boundary layer flow of viscous incompressible fluid over an inclined stretching sheet with body force and heat transfer. Considering the stream function, we convert the boundary layer equation into nonlinear third-order ordinary differential equation together with appropriate boundary conditions in an infinite domain. The nonlinear boundary value problem has been linearized by using the quasilinearization technique. Then, we develop a nonpolynomial spline method, which is used to solve the flow problem. The convergence analysis of the method is also discussed. We study the velocity function for different angles of inclination and Froude number with the help of various graphs and tables. Then using these in heat convection flow, we obtain the expression for temperature field. Skin friction is also calculated. The various results have been given in tables. At last, we calculated the Nusselt number.

On numerical solution of boundary layer flow of viscous incompressible fluid past an inclined stretching sheet in porous medium and heat transfer using spline technique

“…Due to emergence of numerical techniques, many researchers have investigated numerical methods and solved these type of problems in different variants with or without heat transfer. Moreover, a few studies are available in literature (see [3] , [4] , [5] , [6] , [7] , [8] , [9] , [10] , [11] , [12] , [13] , [14] , [15] , [16] , [17] , [18] , [19] , [20] , [21] , [22] , [23] , [24] , [25] , [26] , [27] , [28] ). Natural porous media fluxes include processes such as the movement of oil, gas, or moisture in hydrocarbons, as well as the potential deployment of methane in gas hydrates,the movement of Waterless Phase Liquids in polluted groundwater, the movement of fluids and soluble compounds in living organisms materials, and the dissolving metamorphism of ice are all examples of natural porous media and mechanisms although some illustrations of industrial porous media and the procedures that correspond to them are: drying of paper pulp, the soaking of liquids in nappies and other items with a same uptake capacity, the treatment of gas and water in fuel cells, and the drying of foods.…”

Natural convection nanofluid flow with heat transfer analysis of carbon nanotubes–water nanofluid inside a vertical truncated wavy cone

“…In literature review, it appears that heat transfer in natural convection power law non‐Newtonian fluid flow through vertical truncated wavy cone with the Tiwari and Das 22 nanofluid model has not yet been investigated. However, several overlapping studies in one or other way can be found in previous studies 23–41 . In order to fill the gap in literature, the thermally stratified boundary layer CNT–water nanofluid flow suspended by a vertical truncated cone is considered.…”

“…However, several overlapping studies in one or other way can be found in previous studies. [23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41] In order to fill the gap in literature, the thermally stratified boundary layer CNT-water nanofluid flow suspended by a vertical truncated cone is considered. Firstly, the system gives a nonsimilar solution; then it converts to a similar solution by using transformation to find its solution.…”