1. The drag force exerted by a flowing fluid on a solid body depends upon the length of the body, L, velocity of flow V, density of fluid p, and viscosity u. Find an expression for drag force using Buckingham's theorem.

2. Consider a flow with the velocity profile given by the equation below. The fluid surface is located at y = 0. Here, U∞ is called the freestream velocity and 8 is called the boundary layer thickness. Calculate the boundary layer thickness at a point where the shear stress is 36 mPa if the freestream velocity is 40 m/s and the fluid's dynamic viscosity 1.81.105 Pa.s. U.. ( 2 (²) - (²) ²) u(y) = U∞o

A plate 0.05mm distance from a fixed plate moves at 1.25 m/s and required a force per unit area of 3 Pa to maintain this speed by using an oil of specific gravity 0.65. Find the dynamic viscosity in centipoise and kinematic viscosity in stokes of the fluid between the plates. Calculate the specific weight in kN/m³, density, and the specific gravity of a liquid having a volume of 662900 cm and weight of 55 kN

1 Consider a rapidly rotating (ie, in near geostrophic balance) Boussineq fluid on the f plane. A) Show that the pressure divided by the density scales as Φ ≈ fUL B) Show that the horizontal divergence of the geostrophic wind vanishes. Thus, argue that the scaling W ≈ UH = L is an overestimate for the magnitude of the vertical velocity

can someone explain this question please

A flat-bottomed raft is traveling across a shallow lake at 6 ms-¹. The lake is 10 cm deep. If the raft has a surface area of 3 m² and the lake is full of water with viscosity of 0.001 Pa s, determine the force required to maintain the raft's speed. [0.18 N]

When a chalk is broken into dust-like particles, the particles take a long time to settle down to the ground when compared to the original chalk although the density of the chalk and the viscosity of air remain the same. The reasons for this are: (i) (ii) (i) (ii) The Reynolds number is very low due to reduced length scale of the dust. The dust particle is much lighter than the chalk. The viscous force is a surface force proportional to the length square while the gravitational force is a body force proportional to the length cube. At very small length scale, length square is much larger than length cube. (iii) (A) (B) The largest animal is found in sea as it requires no energy to support its weight by using hydrostatic principle. However bird has to support its own weight by using Bernoulli principle to create pressure difference while in flight. Bird cannot be very large and there are also fewer species of large bird than small bird. The reasons are: There is less food in the air…

fluid mechanics  explain, with examples, the effects of temperature and shear forces on newtonian and non-newtonian fluids.

The kinematic viscosity of and specific gravity of a liquid are 3.5 x 10-4 m^2 /s and 0.79, respectively. What is the dynamic viscosity of the liquid in N-s/m^2?

m. A piston having a diameter 0.15 m and a length of 0.25 m as shown in figure (1.2) slides downward with a velocity (V) through a vertical pipe. The downward motion is resisted by an oil film between the piston and the pipe wall. The film thickness is 5*10° m, and the cylinder weighs 2.22 N. Estimate V if the oil viscosity is 0.016 N.s/m². Assume the velocity distribution in the gap is linear. 2. Figure (1.1) W D Figure (1.2) Scanned with CamScanner