Herschel–Bulkley fluid

About: Herschel–Bulkley fluid is a research topic. Over the lifetime, 1946 publications have been published within this topic receiving 49318 citations.

Solute Transfer in a Power-law Fluid Flow through Permeable Tube

Abstract: The steady mass transfer in a fluid flowing through a rigid cylindrical tube with permeable wall has been considered. The fluid under consideration is a power-law fluid. The governing equations are coupled due to the boundary condition on velocity which obeys Starling’s hypothesis. The coupled equations are solved numerically by assuming an initial approximation for concentration. The resulting ordinary differential equations are solved using fourth order Runge-Kutta method. The species transport equation is solved using Crank-Nicolson finite difference scheme. The results are graphically depicted. � � 1 refers to Newtonian fluid. Concentration is higher for � � 1.1 and lower for � � 0.9 compared to the case of Newtonian fluid.

Boundary Layer Flow Due to a Moving Flat Plate in Micropolar Fluid

Abstract: The mathematical model for a boundary layer flow due to a moving flat plate in micropolar fluid is discussed. The plate is moving continuously in the positive x-direction with a constant velocity. The governing boundary-layer equations are solved numerically using an implicit finite-difference scheme. Numerical results presented include the reduced velocity profiles, gyration component profiles and the development of wall shear stress. The results obtained, when the material parameter K = 0 (Newtonian fluid) showed excellent agreement with those for viscous fluids. Further, the wall shear stress increases with increasing K. For fixed K, the wall shear stress decreases and the gyration component increases with increasing values of n, in the range 0 ≤ n ≤ 1 where n is a ratio of the gyration vector component and the fluid shear stress at the wall.

Modeling of Spinning Sphere Motion in Shear Flow of Viscous Fluid

Abstract: Modeling the motion of a small rigid spinning spherical particle in viscous Navier—Stokes fluid, we generalize the Rubinow—Keller and Maxey—Riley method of estimating the force and the torque acting on the particle to the case of shear flow and arbitrary Reynolds number. We represent the velocity of the flow near the particle as solid body part and small perturbation. As for the velocity far from the particle, it includes a steady external shear flow part and again small perturbation. We use the simplest quadratic polynomial approximation for the small velocity parts and insert it in matching condition at some intermediate spherical surface. It appears that the force parallel to the angular velocity of the particle proves to contain the oscillatory part, with the frequency being proportional to the gradient of the external steady velocity.