ANALYTICAL SOLUTION OF HEAT TRANSFER AND UNSTEADY FLOW OF SECOND-GRADE FLUID PAST A POROUS, MOVING, AND OSCILLATING VERTICAL BELT

Purpose This study aims to investigate the effect of two-dimensional Darcy-Forchheimer flow over second-grade fluid with linear stretching. Heat transfer through convective boundary conditions is taken into account. Design/methodology/approach Nonlinear coupled governing equations are tackled with a homotopy algorithm, while for numerical computation the computer software package BVPh 2.0 is used. The convergence analysis is also presented for the validation of analytical and numerical results. Findings Valuation for the impact of key parameters such as variable thermal conductivity, Dufour and Soret effects and variable magnetic field in an electrically conducted fluid on the velocity, concentration and temperature profiles are graphically illustrated. It is observed from the results that temperature distribution rises by Dufour number whereas concentration distribution rises by Soret number. The Forchheimer number and porosity parameter raise the skin friction coefficient. The permeable medium has a vital impact and can help in reining the rate of heat transfer. Practical implications The permeable medium has a vital impact and can help in reining the rate of heat transfer. Originality/value To the best of the authors’ knowledge, this study is reported for the first time.

Download Full-text

THE EFFECTS OF ENDOSCOPE AND HEAT TRANSFER ON THE PERISTALTIC FLOW OF A SECOND GRADE FLUID IN AN INCLINED TUBE

Journal of Mechanics in Medicine and Biology ◽

10.1142/s0219519416500573 ◽

2016 ◽

Vol 16 (04) ◽

pp. 1650057 ◽

Cited By ~ 3

Author(s):

K. RAMESH ◽

M. DEVAKAR

Keyword(s):

Heat Transfer ◽

Vertical Tube ◽

Peristaltic Flow ◽

Temperature Fields ◽

Second Grade ◽

Physical Parameters ◽

Second Grade Fluid ◽

Pumping Rate ◽

Inclined Tube ◽

Grade Fluid

In the present paper, we have studied the effects of endoscope and heat transfer on the peristaltic flow of second grade fluid through an inclined tube. The endoscope is a solid circular cylinder which is inserted in a peristaltic tube, and the flow takes place through the gap between endoscope and the peristaltic tube. The endoscope is maintained at a temperature [Formula: see text], while the outer tube has a sinusoidal wave traveling down its wall and is exposed to temperature [Formula: see text]. The flow is investigated in a wave frame of reference moving with the velocity of the wave. The equations governing the flow of second grade fluid are modeled in cylindrical coordinates. Using perturbation method, the solutions are obtained for the stream function, pressure gradient and temperature fields. The pressure difference and frictional force at both the walls are calculated using numerical integration. The graphical results are presented to interpret the effect of various physical parameters of interest. It is found that, velocity increases with an increase in inclination angle and the best pumping rate appear in the vertical tube as compared to the horizontal tube. It is also found that, the heat generation parameter has an increasing effect on the velocity of the fluid.

Download Full-text