SEH Hydrodynamics Primer Problems

Prof. Kune Y. [email protected]

TA: Shamim Jubair Ahmed & Palash Kumar Bhowmik

Hydrodynamics Primer

Contents Physics of Fluid Dimensions & Units Vector Algebra and Calculus

Dimensions and Units

Taken from: Introduction to Fluid Mechanics, PRITCHARD & LEYLEGIAN, 8th Edition

Derived Units

Definitions

Conversion Factors

Problem-1For low-speed (laminar) steady flow through a circular pipe, as shown in thefollowing, the velocity u varies with radius and takes the form:

Where is the fluid viscosity and p is the pressure drop from entrance to exit. What are the dimensions of the constant B? (Ans: L-1)

Newtons Law of Viscosity

Non-Newtonian Fluid

Problem-2A thin plate is separated from two fixed plates by very viscous liquids 1 and 2, respectively,as in following figure. The plate spacings h1 and h2 are unequal, as shown. The contact areais A between the center plate and each fluid.

(a) Assuming a linear velocity distribution in each fluid, derive the force F requiredto pull the plate at velocity V.

(b) Is there a necessary relation between the two viscosities,1 and 2?

Problem-3

Problem-3

Problem-3

Problem-3

Problem-4