Boundary layer equations and stretching sheet solutions for the modified second grade fluid

Stagnation point flow of viscoelastic second grade fluid over a stretching cylinder under the thermal slip and magnetic hydrodynamics effects are studied. The mathematical model has been developed under the assumption of non-Newtonian viscoelastic fluid flow over a stretching cylinder by means of the boundary layer approximations. The developed model further reduced through the similarity transformations and constructs the model of nonlinear ordinary differential equations. The system of nonlinear differential equations is dimensionless and solved through the numerical technique bvp5c methods. The results of the physical parameters are found and interpreted in the form of tables and graphs. The velocity shows that the graph of curves enhances away from the surface when the values material parameter [Formula: see text] increase, which means the momentum boundary layer increases for enhancing the material parameter [Formula: see text]. The temperature gradient reduced due enhancing the values of material parameter [Formula: see text] because thermal boundary layer reduced for higher values of material parameter [Formula: see text].

Download Full-text

Free surface film flow of an unsteady second grade fluid over a stretching sheet with surface tension linearly varies with temperature

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2019.123956 ◽

2020 ◽

Vol 551 ◽

pp. 123956 ◽

Cited By ~ 1

Author(s):

Sajid Rehman ◽

Rehan Ali Shah ◽

Aamir Khan ◽

Zeeshan Khan

Keyword(s):

Surface Tension ◽

Free Surface ◽

Stretching Sheet ◽

Film Flow ◽

Surface Film ◽

Second Grade ◽

Second Grade Fluid ◽

Grade Fluid

Download Full-text

Analysis of Boundary Layer Flow and Heat Transfer for two Classes of Viscoelastic Fluid Over a Stretching Sheet with Heat Generation or Absorption

Bangladesh Journal of Scientific and Industrial Research ◽

10.3329/bjsir.v46i4.9590 ◽

1970 ◽

Vol 46 (4) ◽

pp. 451-456 ◽

Cited By ~ 4

Author(s):

K Bhattacharyya ◽

MS Uddin ◽

GC Layek ◽

W Ali Pk

Keyword(s):

Heat Transfer ◽

Boundary Layer ◽

Viscoelastic Fluid ◽

Heat Generation ◽

Boundary Layer Flow ◽

Stretching Sheet ◽

Second Grade ◽

Grade Fluid ◽

Heat Generation Or Absorption ◽

Layer Flow

In this paper, we obtained solutions of boundary layer flow and heat transfer for two classes of viscoelastic fluid over a stretching sheet with internal heat generation or absorption. In the analysis, we consider second-grade fluid and Walter's liquid B. The governing equations are transformed into self-similar ordinary differential equations by similarity transformations. The flow equation relating to momentum is solved analytically and then the heat equation using the Kummer's function. The analysis reveals that for the increase in magnitude of viscoelastic parameter both the velocity and temperature for a fixed point increase for second-grade fluid and both decrease for Walter's liquid B. Due to increase in Prandtl number and heat sink parameter, the thermal boundary layer thickness reduces, whereas increasing heat source parameter increases that thickness. Key words: Boundary layer flow; Heat transfer; Viscoelastic fluid; Stretching sheet; Heat generation or absorption DOI: http://dx.doi.org/10.3329/bjsir.v46i4.9590 BJSIR 2011; 46(4): 451-456

Download Full-text