6.1 (A) Stokes's flow (low-Reynolds-number incompress- ible flow) over a sphere has velocity components Compute all...
From Acheson: Elementary Fluid Dynamics Equation 7.3 and 6.12 (Slow Flow Equations) 7.2. A rigid sphere of radius a is immersed in an infinite expanse of viscous fluid. The sphere rotates with constant angular velocity Ω. The Reynolds number R-Ωα2/v is small, so that the slow flow equations apply (see eqns (7.3) and (6.12)). Using spherical polar coordinates (r, θ, φ) with θ-0 as the rotation axis, show that a purely rotary flow u us(r, e, s possible provided that...
The aerodynamic drag acting on a cylinder at a very low Reynolds number (Stokes flow or creeping motion) is a function of dynamic viscosity of fluid (u), diameter of cylinder (D) and freestream velocity (U). Find a non-dimensional parameter using dimensional analysis.
The aerodynamic drag acting on a cylinder at a very low Reynolds number (Stokes flow or creeping motion) is a function of dynamic viscosity of fluid (u), diameter of cylinder (D) and freestream velocity (U). Find a non-dimensional parameter using dimensional analysis.
The aerodynamic drag acting on a cylinder at a very low Reynolds number (Stokes flow or creeping motion) is a function of dynamic viscosity of fluid (µ), diameter of cylinder (D) and freestream velocity (U). Find a non-dimensional parameter using dimensional analysis.
Compute in English Engineering units, the freestream velocity required to produce a Reynolds number Re = 106 for a model with L = 42 in. in air at 68 ˚F: SG = 1.23 x 10-3 µ = 3.78 x 10-7 lbf · s/ft2 Give your answer in feet per second. Bonus: What is the Mach number of this flow? Recall that ˚F = ˚R + 458.67
please show all work The aerodynamic drag acting on a cylinder at a very low Reynolds number (Stokes flow or creeping motion) is a function of dynamic viscosity of fluid (u), diameter of cylinder (D) and freestream velocity (U). Find a non-dimensional parameter using dimensional analysis.
6a. The aerodynamic drag acting on a cylinder at a very low Reynolds number (Stokes flow or creeping motion) is a function of dynamic viscosity of fluid (u), diameter of cylinder (D) and freestream velocity (U). Find a non-dimensional parameter using dimensional analysis. 6b. A model test is to be conducted in a water tunnel using a 1: 20 model of a submarine, which is to travel at a speed of 12 km/h deep under sea surface. The water temperature...
Struggling with this question, please help with questions underlined or bracketed in yellow, help will be greatly appreciated! From Acheson: Elementary Fluid Dynamics Hint from the Book answer to the amount of torque needed at end of question: 7.2. A rigid sphere of radius a is immersed in an infinite expanse of viscous fluid. The sphere rotates with constant angular velocity Ω. The Reynolds number R-Ωα2/v is small, so that the slow flow equations apply (r, θ, φ) with θ=0...
please help Question 1 1.1 If the velocity distribution of a fluid flowing over a 1m² flat plate is given by u=l+ y + y, find the m. Assume dynamic viscosity to be y=6x10*(Ns/m”). force acting on a plate at y = [5 marks] 1.2 A 2D velocity field in an incompressible flow was measured by PIV method and determined to follow the following functions u= 2x’ +2y and v=x - 4y. Check whether your measurements are correct at a...
could you please help me with answering all parts of this question. like and comment are rewarded. [7] A3. (a) Draw the streamlines and vortex lines of a Rankine vortex. Indicate which field lines are streamlines and which field lines are vortex lines, and label the vortex core. Explain which region of the flow has zero vorticity, and which region of the flow has non-zero vorticity. (b) A fluid with constant density po, pressure p, and velocity v, satisfies the...