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Analyse the given equation below and state if by the principle of homogeneity, the equation is...
The terminal speed of a spherical particle falling in a liquid is given by 2R2g P-P)...
The terminal speed of a spherical particle falling in a liquid is given by 2R2g P-P) 91 v= where R is the radius of the sphere, p, is its density, p, is the density of the fluid, and n is the coefficient of viscosity. Using this equation, find the viscosity (in mPa s) of motor oil in which a steel ball of radius 0.7 mm falls with a terminal speed of 4.43 cm/s. The densities of the ball and the...
a) Check the correctness of the following equation using the principle of dimensional homogeneity. (2 Marks)...
a) Check the correctness of the following equation using the principle of dimensional homogeneity. (2 Marks) I=c(Vv/t) - dva + a3 (I=Impulse, t= time, v=velocity, a=acceleration, c=dimensionless constant, d=distance) b) Find the Dimensional Formula of n in the following equation. (2 Marks) V=2Van + atr3 (V= Volume, t= time, r=radius, a=area) c) Pressure of a specific gas in a container is directly proportaional to square of its Volume. Find the Dimensional Formula of the proportionality constant. (3 Marks)
INFO GIVEN PROBLEM Consider a porous sphere sitting in a pool of stagnant Newtonian fluid (with...
INFO GIVEN
PROBLEM
Consider a porous sphere sitting in a pool of stagnant Newtonian fluid (with constant viscosity μ). Liquid with constant viscosity μ is forced out radially from the sphere. Your ultimate goal is to find the velocity profile vi(r) of the liquid outside the sphere. The radius of the sphere is given by R. Assume the flow to be steady state; vo-Vo-0; and neglect gravity. Also, the velocity at the sphere surface is given by v(R)-Vo. Assume steady...
Hi, Can you check my answers? If they're incorrect, please include a picture of the correct...
Hi,
Can you check my answers? If they're incorrect, please include a
picture of the correct answer written out on a peice of paper.
Thanks!!
c. When a spherical object of radius r moves at velocity v in a viscous liquid, the object experi- ences a drag force given by Stokes' Law (Fd = 6πrv. η). Given the apparent weight of the object above, under what condition would the object be falling at "terminal velocity"? State the equation for this...
The diffusion coefficient, D, of a rigid spherical molecule is given by the equation KT Dua 6 where n is the viscos...
The diffusion coefficient, D, of a rigid spherical molecule is given by the equation KT Dua 6 where n is the viscosity of the solvent, r is the radius of the sphere, k is the Boltzman constant 1.38 x 10-6 erg.K-, and T is the absolute temperature in kelvins. Assume that this protein is an unhydrated, rigid sphere with a density, p, of 1.35g.cm . Calculate the diffusion coefficient of a 100 kDa protein in a membrane that has an...
2. The magnitude of the viscous force on a small sphere of radius R moving with...
2. The magnitude of the viscous force on a small sphere of
radius R moving with a velocity v in a dilute gas is given by the
equation F= 6πμRv where μ is the viscosity.
2. The magnitude of the viscous force on a small sphere of radius R moving with a velocity v in a dilute gas is given by the equation gas is given by the equation Form gassphere our = 6uRy where u is the viscosity. 2.1...
could you please make clear answer? 2. A plastic sphere with 4mm in diameter is dropped...
could you please make clear
answer?
2. A plastic sphere with 4mm in diameter is dropped into water. The terminal velocity of the sphere in water is to be determined. Assumptions 1 The fluid flow over the sphere is laminar (to be verified). 2 The drag coefficient remains constant. Properties The density of plastic sphere is 1150 kg/m . The density and dynamic viscosity of water at -3 20°C are ρ-998 kg/mand μ-1.002x10 kg/ms. respectively. The drag coefficient for a...
[Note: this is an open-ended problem. Various answers are possible, but some answers are better than...
[Note: this is an open-ended problem. Various answers are possible, but some answers are better than others. The intent of such problems is to force us to use our knowledge of fluids while keeping in mind practical constraints such as time, money, and measurement capabilities.] (5 points) The objective of this problem is to devise an inexpensive but effective manner for measuring liquid viscosity at room temperature. We can use the concept of terminal velocity to help us measure viscosity...
When an object moves through a fluid, the fluid exerts a viscous force F on the...
When an object moves through a fluid, the fluid exerts a viscous force F on the object that tends to slow it down. For a small sphere of radius R, moving slowly with a speed v, the magnitude of the viscous force is given by Stokes, law, F = 6πηRv, where η is the viscosity of the fluid. (a) What is the viscous force on a sphere of radius R = 8.9 x 10-4 m falling through water (η =...
Morrison equation The Morrison equation, given below, is used to compute the force exerted on the...
Morrison equation The Morrison equation, given below, is used to compute the force exerted on the cylindrical legs of an offshore oil production platform by the waves of seawater moving past the platform. F=pCm Va+ 5p Cp A URUT In this equation F = the force exerted (N) p= density of the waves moving towards the cylinder (kg/m) Cm- coefficient of inertia (dimensionless) V = vlume of the cylinder (m) a = acceleration of the waves moving past the cylinder...
The terminal speed of a spherical particle falling in a liquid is given by 2R2g P-P) 91 v= where R is the radius of the sphere, p, is its density, p, is the density of the fluid, and n is the coefficient of viscosity. Using this equation, find the viscosity (in mPa s) of motor oil in which a steel ball of radius 0.7 mm falls with a terminal speed of 4.43 cm/s. The densities of the ball and the...
a) Check the correctness of the following equation using the principle of dimensional homogeneity. (2 Marks) I=c(Vv/t) - dva + a3 (I=Impulse, t= time, v=velocity, a=acceleration, c=dimensionless constant, d=distance) b) Find the Dimensional Formula of n in the following equation. (2 Marks) V=2Van + atr3 (V= Volume, t= time, r=radius, a=area) c) Pressure of a specific gas in a container is directly proportaional to square of its Volume. Find the Dimensional Formula of the proportionality constant. (3 Marks)
INFO GIVEN
PROBLEM
Consider a porous sphere sitting in a pool of stagnant Newtonian fluid (with constant viscosity μ). Liquid with constant viscosity μ is forced out radially from the sphere. Your ultimate goal is to find the velocity profile vi(r) of the liquid outside the sphere. The radius of the sphere is given by R. Assume the flow to be steady state; vo-Vo-0; and neglect gravity. Also, the velocity at the sphere surface is given by v(R)-Vo. Assume steady...
Hi,
Can you check my answers? If they're incorrect, please include a
picture of the correct answer written out on a peice of paper.
Thanks!!
c. When a spherical object of radius r moves at velocity v in a viscous liquid, the object experi- ences a drag force given by Stokes' Law (Fd = 6πrv. η). Given the apparent weight of the object above, under what condition would the object be falling at "terminal velocity"? State the equation for this...
The diffusion coefficient, D, of a rigid spherical molecule is given by the equation KT Dua 6 where n is the viscosity of the solvent, r is the radius of the sphere, k is the Boltzman constant 1.38 x 10-6 erg.K-, and T is the absolute temperature in kelvins. Assume that this protein is an unhydrated, rigid sphere with a density, p, of 1.35g.cm . Calculate the diffusion coefficient of a 100 kDa protein in a membrane that has an...
2. The magnitude of the viscous force on a small sphere of
radius R moving with a velocity v in a dilute gas is given by the
equation F= 6πμRv where μ is the viscosity.
2. The magnitude of the viscous force on a small sphere of radius R moving with a velocity v in a dilute gas is given by the equation gas is given by the equation Form gassphere our = 6uRy where u is the viscosity. 2.1...
could you please make clear
answer?
2. A plastic sphere with 4mm in diameter is dropped into water. The terminal velocity of the sphere in water is to be determined. Assumptions 1 The fluid flow over the sphere is laminar (to be verified). 2 The drag coefficient remains constant. Properties The density of plastic sphere is 1150 kg/m . The density and dynamic viscosity of water at -3 20°C are ρ-998 kg/mand μ-1.002x10 kg/ms. respectively. The drag coefficient for a...
[Note: this is an open-ended problem. Various answers are possible, but some answers are better than others. The intent of such problems is to force us to use our knowledge of fluids while keeping in mind practical constraints such as time, money, and measurement capabilities.] (5 points) The objective of this problem is to devise an inexpensive but effective manner for measuring liquid viscosity at room temperature. We can use the concept of terminal velocity to help us measure viscosity...
Morrison equation The Morrison equation, given below, is used to compute the force exerted on the cylindrical legs of an offshore oil production platform by the waves of seawater moving past the platform. F=pCm Va+ 5p Cp A URUT In this equation F = the force exerted (N) p= density of the waves moving towards the cylinder (kg/m) Cm- coefficient of inertia (dimensionless) V = vlume of the cylinder (m) a = acceleration of the waves moving past the cylinder...
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