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Consider a porous sphere sitting in a pool of stagnant Newtonian fluid (with...
1. Steady state heat transfer in a planar system (35 pt) Two large flat porous horizontal...
1. Steady state heat transfer in a planar system (35 pt) Two large flat porous horizontal plates are separated by a relatively small distance L. The upper plate at y L is at temperature TL, and the lower one at y 0 is to be maintained at a lower temperature To. To reduce the amount of heat that must be removed from the lower plate, a Newtonian fluid at To is driven upward through both plates at a steady rate,...
Two immiscible Newtonian fluids are contained between infinite parallel plates. The plates are separated by distance...
Two immiscible Newtonian fluids are contained between infinite parallel plates. The plates are separated by distance 4h, and the top fluid layer thickness is h. The bottom layer has thickness 3h. The viscosity of the bottom fluid is three times that of the top fluid. If the lower plate moves at a constant speed of 20 m/s and the upper plate moves at a constant speed of 40 m/s, what is the average velocity within the bottom liquid layer? We...
Problem 5. Consider a (i) steady, (ii) incompressible, axisymmetric, (iv) fully- developed, (v) constant viscosity, (vi) laminar flow in a circular pipe. Assume that the pipe is horizontal, so that a...
Problem 5. Consider a (i) steady, (ii) incompressible, axisymmetric, (iv) fully- developed, (v) constant viscosity, (vi) laminar flow in a circular pipe. Assume that the pipe is horizontal, so that any gravitational effects can be ignored It is known that an incompressible, constant viscosity fluid can be described by the continuity equation in cylindrical coordinates together with the Naiver-Stokes equations (ak.a., momentum eqns) in cylindrical coor- dinates Ov 00. Or 9-moment um 11ap 2-momentum plus the appropriate boundary conditions. Starting...
Consider the steady, laminar flow of two liquids, A and B, with viscosities HA-μ and μΒ...
Consider the steady, laminar flow of two liquids, A and B, with viscosities HA-μ and μΒ 21, respectively, between infinite parallel plates at 2- a, as shown in the diagram below. The plate at 2 a is fixed, while the plate at 2a moves with constant velocity -Vi, where V0. The liquids do not mix, and each forms a layer of depth a. There is an applied pressure gradient acting on both liquids, given by ▽p--Ci (where C > 0...
An important problem in chemical engineering separation equipment involves thin liquid films flow...
An important problem in chemical engineering separation equipment involves thin liquid films flowing down vertical walls due to gravity, as shown in this figure yV A. Assume that the wall is long and wide compared to the film thickness, with steady flow that is laminar and fully developed: u= v=0 and w w(x). Using a force balance on a rectangular differential element, derive an expression relating g, p, and τΧΖ . Use τΧΖ-n(-_ +--) for a Newtonian fluid to convert...
I asked this previously and wasn't given an answer, just methods that I could use. It...
I asked this previously and wasn't given an answer, just methods
that I could use. It was really unhelpful. I woudl thankful to
whoever actually solves this.
Question 2 free surface fluid 1 fluid 2 fR h2 plate moves at constant speed U Figure 2: Bottom plate moves at constant speed under two unmixed fluids Consider a two-dimensional Newtonian, steady state, incompressible flow of two fluids over an infinite horizontal plate moving at speed U 1 m/s, as shown in...
An important problem in chemical engineering separation equipment involves thin liquid films flowing down vertical walls...
An important problem in chemical engineering separation equipment involves thin liquid films flowing down vertical walls due to gravity, as shown in this figure yV A. Assume that the wall is long and wide compared to the film thickness, with steady flow that is laminar and fully developed: u= v=0 and w w(x). Using a force balance on a rectangular differential element, derive an expression relating g, p, and τΧΖ . Use τΧΖ-n(-_ +--) for a Newtonian fluid to convert...
out of 12 points) You want to see if the addition of a 1. catheter significantly...
out of 12 points) You want to see if the addition of a 1. catheter significantly affects the shear stress experienced by cells at he vessel wall. A blood vessel of radius R, is catheterized by a catheter with radius R which passes through the center of the vessel In the catheterized vessel, blood continues to flow between the catheter and the vessel wall. With or without the catheter, the pressure drop per unit length in the vessel is a...
Consider the steady, incompressible flow of depth h of a liquid of known density ρ and...
Consider the steady, incompressible flow of depth h of a liquid
of known density ρ and unknown viscosity µ down a flat plate as
shown in Figure 1. Air is the fluid above the liquid layer. The
force of gravity is in the vertical direction with acceleration g,
and the plate is at an angle θ with respect to the horizontal.
Assuming the coordinate system as shown, with x aligned with the
flow direction, and y normal to the plate,...
A group of researchers have been trying to generate a degradable scaffold made of polycaprolactone (PCL)...
A group of researchers have been trying to generate a degradable scaffold made of polycaprolactone (PCL) for non-load bearing bone substitute. A literature survey indicates that the scaffold for bone tissue engineering should ideally be at least 80% porous with an average pore diameter of 150-220 μm. 4. (a)Discuss the importance of porosity and pore size in tissue engineering scaffolds. (5 marks) (b) The group finally developed a cylindrical scaffold (12 mm in diameter and 10 mm in height) with...
1. Steady state heat transfer in a planar system (35 pt) Two large flat porous horizontal plates are separated by a relatively small distance L. The upper plate at y L is at temperature TL, and the lower one at y 0 is to be maintained at a lower temperature To. To reduce the amount of heat that must be removed from the lower plate, a Newtonian fluid at To is driven upward through both plates at a steady rate,...
Problem 5. Consider a (i) steady, (ii) incompressible, axisymmetric, (iv) fully- developed, (v) constant viscosity, (vi) laminar flow in a circular pipe. Assume that the pipe is horizontal, so that any gravitational effects can be ignored It is known that an incompressible, constant viscosity fluid can be described by the continuity equation in cylindrical coordinates together with the Naiver-Stokes equations (ak.a., momentum eqns) in cylindrical coor- dinates Ov 00. Or 9-moment um 11ap 2-momentum plus the appropriate boundary conditions. Starting...
Consider the steady, laminar flow of two liquids, A and B, with viscosities HA-μ and μΒ 21, respectively, between infinite parallel plates at 2- a, as shown in the diagram below. The plate at 2 a is fixed, while the plate at 2a moves with constant velocity -Vi, where V0. The liquids do not mix, and each forms a layer of depth a. There is an applied pressure gradient acting on both liquids, given by ▽p--Ci (where C > 0...
An important problem in chemical engineering separation equipment involves thin liquid films flowing down vertical walls due to gravity, as shown in this figure yV A. Assume that the wall is long and wide compared to the film thickness, with steady flow that is laminar and fully developed: u= v=0 and w w(x). Using a force balance on a rectangular differential element, derive an expression relating g, p, and τΧΖ . Use τΧΖ-n(-_ +--) for a Newtonian fluid to convert...
I asked this previously and wasn't given an answer, just methods
that I could use. It was really unhelpful. I woudl thankful to
whoever actually solves this.
Question 2 free surface fluid 1 fluid 2 fR h2 plate moves at constant speed U Figure 2: Bottom plate moves at constant speed under two unmixed fluids Consider a two-dimensional Newtonian, steady state, incompressible flow of two fluids over an infinite horizontal plate moving at speed U 1 m/s, as shown in...
An important problem in chemical engineering separation equipment involves thin liquid films flowing down vertical walls due to gravity, as shown in this figure yV A. Assume that the wall is long and wide compared to the film thickness, with steady flow that is laminar and fully developed: u= v=0 and w w(x). Using a force balance on a rectangular differential element, derive an expression relating g, p, and τΧΖ . Use τΧΖ-n(-_ +--) for a Newtonian fluid to convert...
out of 12 points) You want to see if the addition of a 1. catheter significantly affects the shear stress experienced by cells at he vessel wall. A blood vessel of radius R, is catheterized by a catheter with radius R which passes through the center of the vessel In the catheterized vessel, blood continues to flow between the catheter and the vessel wall. With or without the catheter, the pressure drop per unit length in the vessel is a...
Consider the steady, incompressible flow of depth h of a liquid
of known density ρ and unknown viscosity µ down a flat plate as
shown in Figure 1. Air is the fluid above the liquid layer. The
force of gravity is in the vertical direction with acceleration g,
and the plate is at an angle θ with respect to the horizontal.
Assuming the coordinate system as shown, with x aligned with the
flow direction, and y normal to the plate,...
A group of researchers have been trying to generate a degradable scaffold made of polycaprolactone (PCL) for non-load bearing bone substitute. A literature survey indicates that the scaffold for bone tissue engineering should ideally be at least 80% porous with an average pore diameter of 150-220 μm. 4. (a)Discuss the importance of porosity and pore size in tissue engineering scaffolds. (5 marks) (b) The group finally developed a cylindrical scaffold (12 mm in diameter and 10 mm in height) with...
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