Why is Stoke's law applicable at low Reynolds number but not at high Reynolds numbers?
Stokes's law is applicable at low Reynold's number because it is derived from Navier Stokes's law with assumptions that in the flow viscous force dominates and tiny particles follow the streamline of such creeping flow flow but when the flow because turbulent at high Reynold's number then flow becomes chaotic and in that case inertial force starts dominating an particles moves in random motion and so we cannot apply Stoke's law to such flow.
Why is Stoke's law applicable at low Reynolds number but not at high Reynolds numbers?
Laws and Numbers Reynolds Number, Re Mach Number, M Knudsen Number, Kn Torricelli's Law Archimedes' Principle
Question 2 2A. Define Reynolds number. 2B. What is the range of Reynolds number where the Darcy's Law is applicable? 2C. How should you ensure you are in the valid range of Reynolds number to apply the Darcy's Law correctly? 2D. Consider a porous medium with the following rock properties • Porosity, Ø = 20% • Permeability, k = 200 mD The fluid being injected into the medium at a Darcian velocity, u = 5 cm/s, has the following properties...
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.
Problem #3 At very low Reynolds numbers a ball viscometer can be used to measure fluid viscosity by dropping a spherical ball in the fluid and measuring its terminal velocity. Consider a solid ball of radius a = 1cm and density Ps = 2,500 kg/m falling in liquid glycerin with density P = 1,250 kg/m3. The measured terminal velocity of the ball is U = 0.15 m/s. Calculate the viscosity of the liquid.
6.1 (A) Stokes's flow (low-Reynolds-number incompress- ible flow) over a sphere has velocity components Compute all components of the viscous stress tensor in r, coordinates.
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...
85. Show that the Reynolds number is unitless by substituting units for all the quantities in its definition and cancelling. 86. Calculate the Reynolds numbers for the flow of water through (a) a nozzle with a radius of 0.250 cm and (b) a garden hose with a radius of 0.900 cm, when the nozzle is attached to the hose. The flow rate through hose and nozzle is 0.500 L/s. Can the flow in either possibly be laminar?
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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.