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Please derive the Velocity equation in X axis
, unull a 1-D geometry FLOW OF A...
please solve all parts and show all steps especially parts b) and d) Problem (3) 140...
please solve all parts and show all steps
especially parts b) and d)
Problem (3) 140 pointsl Consider a viscous film of liquid draining uniformly down the side of a vertical rod or radius (a) and length of (L), as shown in figure. Assume that the atmosphere offers no shear resistance to the film motion and the flow is axi-symmetry. Determine the following a) Show that , ,(r) only. b) Verify o. c) Derive the differential equation for v,, state...
A biofluid is flowing down an inclined plane. The velocity profile of this fluid can be...
A biofluid is flowing down an inclined plane. The velocity profile of this fluid can be described by P& 2 Sine if the coordinate axis is aligned with the inclined plane. In the equation above, ρ and μ the fluid density and viscosity, respectively; g is the acceleration of gravity, h is the thickness of the fluid film, and θ is the angle of inclination of the plane. a. Sketch a diagram of the system and reference coordinates. (5 points)...
12. A liquid flows in a slit in the z-direction down a vertical plane, between 2...
12. A liquid flows in a slit in the z-direction down a vertical plane, between 2 broad parallel plates with distance L under the influence of gravity,g, with the plane parallel to the axis of gravity. Assume a uniform thickness of 2D for the liquid layer in the x-direction, steady state laminar flow, and that the fluid is Newtonian and incompressible. The plate at x=0 is heated to a constant temperature of Tp and all the fluid enters the slit...
12. Consider steady, incompressible, parallel, laminar flow of a film of oil falling slowly down an...
12. Consider steady, incompressible, parallel, laminar flow of a film of oil falling slowly down an infinite vertical wall as shown in the figure(Fig. P12a). The oil film thickness is h, and gravity acts in the negative z-direction (downward in the figure) There is no applied (forced) pressure driving the flow the oil falls by gravity alone. (1) Calculate the velocity field in the oi film and sketch the normalized velocity profile. And generate an expression for the volumetric flow...
1. As seenfrom figure, there is a laminar and viscous fluid flow betweentwo parallel plates where...
1. As seenfrom figure, there is a laminar and viscous fluid flow betweentwo parallel plates where the one is moving with velocity y, other one is stationary. There exists pressure gradient in x direction. The bottom stationary plate is a porous plate andfluid is injected into the channel with V velocity. If theflow is steady, fully developed and incompressible flow, derive the velocity profile. Uo Vo
1. As seenfrom figure, there is a laminar and viscous fluid flow betweentwo parallel...
hi i am in a fluid dynamics class and need some help with the question attached....
hi i am in a fluid dynamics class and need some help with the
question attached. please be specific and write out all steps so i
know how to do the problem.
A belt moves upward at velocity V, dragging a film of viscous liquid of constant thickness h. Near the belt, the film moves upward due to no slip. At its outer edge, the film moves downward due to gravity. - liquid dynamic viscosity: u density:P belt 1- Using...
1. Fluid between parallel plates down an inclined plane (gravity setler). Fluid is flowing between parallel...
1. Fluid between parallel plates down an inclined plane (gravity setler). Fluid is flowing between parallel plates, at an angle of β to the vertical. Assume δ<<w, L. th a momentum balance on a differential shell, and using the notation shown below, derive: i. the velocity distribution in the fluid, v,-f(x/b), and sketch result ii. the shear stress distribution in the fluid, -f(x/ö), and sketch result. iii. the volumetric flow rate iv. the maximum velocity, and the position x where...
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...
3 PL 23.5 Laminar slit flow with a moving wall ("plane Couette flow"). Extend Problem 23.4...
3 PL 23.5 Laminar slit flow with a moving wall ("plane Couette flow"). Extend Problem 23.4 by allow- ing the wall at x B to move in the positive z direction at a steady speed 0 Obtain (a) the shear-stress distribution, and (b) the velocity distribution. 12 Lipuli on Draw carefully labeled sketches of these functions. Answers: (a) „(v) = (*7*2)=- (b) v.Cx) = (*72)P" [1-(0))+ (1+ }) - )B2 ( (b) v(x) = — 1 ... thin it may...
For an imcomprresible fluid -y- direction velocity component on (x,y) plane given . İn this statement...
For an imcomprresible fluid -y- direction velocity component on
(x,y) plane given . İn this statement a
and v constant.For the flow area of this fluid find the vortex
vector of -z- direction component.? Note:X=0 for
U(x,y)=0
xy 2aV- = (و ,) ( +y)
please solve all parts and show all steps
especially parts b) and d)
Problem (3) 140 pointsl Consider a viscous film of liquid draining uniformly down the side of a vertical rod or radius (a) and length of (L), as shown in figure. Assume that the atmosphere offers no shear resistance to the film motion and the flow is axi-symmetry. Determine the following a) Show that , ,(r) only. b) Verify o. c) Derive the differential equation for v,, state...
A biofluid is flowing down an inclined plane. The velocity profile of this fluid can be described by P& 2 Sine if the coordinate axis is aligned with the inclined plane. In the equation above, ρ and μ the fluid density and viscosity, respectively; g is the acceleration of gravity, h is the thickness of the fluid film, and θ is the angle of inclination of the plane. a. Sketch a diagram of the system and reference coordinates. (5 points)...
12. A liquid flows in a slit in the z-direction down a vertical plane, between 2 broad parallel plates with distance L under the influence of gravity,g, with the plane parallel to the axis of gravity. Assume a uniform thickness of 2D for the liquid layer in the x-direction, steady state laminar flow, and that the fluid is Newtonian and incompressible. The plate at x=0 is heated to a constant temperature of Tp and all the fluid enters the slit...
12. Consider steady, incompressible, parallel, laminar flow of a film of oil falling slowly down an infinite vertical wall as shown in the figure(Fig. P12a). The oil film thickness is h, and gravity acts in the negative z-direction (downward in the figure) There is no applied (forced) pressure driving the flow the oil falls by gravity alone. (1) Calculate the velocity field in the oi film and sketch the normalized velocity profile. And generate an expression for the volumetric flow...
1. As seenfrom figure, there is a laminar and viscous fluid flow betweentwo parallel plates where the one is moving with velocity y, other one is stationary. There exists pressure gradient in x direction. The bottom stationary plate is a porous plate andfluid is injected into the channel with V velocity. If theflow is steady, fully developed and incompressible flow, derive the velocity profile. Uo Vo
1. As seenfrom figure, there is a laminar and viscous fluid flow betweentwo parallel...
hi i am in a fluid dynamics class and need some help with the
question attached. please be specific and write out all steps so i
know how to do the problem.
A belt moves upward at velocity V, dragging a film of viscous liquid of constant thickness h. Near the belt, the film moves upward due to no slip. At its outer edge, the film moves downward due to gravity. - liquid dynamic viscosity: u density:P belt 1- Using...
1. Fluid between parallel plates down an inclined plane (gravity setler). Fluid is flowing between parallel plates, at an angle of β to the vertical. Assume δ<<w, L. th a momentum balance on a differential shell, and using the notation shown below, derive: i. the velocity distribution in the fluid, v,-f(x/b), and sketch result ii. the shear stress distribution in the fluid, -f(x/ö), and sketch result. iii. the volumetric flow rate iv. the maximum velocity, and the position x where...
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...
3 PL 23.5 Laminar slit flow with a moving wall ("plane Couette flow"). Extend Problem 23.4 by allow- ing the wall at x B to move in the positive z direction at a steady speed 0 Obtain (a) the shear-stress distribution, and (b) the velocity distribution. 12 Lipuli on Draw carefully labeled sketches of these functions. Answers: (a) „(v) = (*7*2)=- (b) v.Cx) = (*72)P" [1-(0))+ (1+ }) - )B2 ( (b) v(x) = — 1 ... thin it may...
For an imcomprresible fluid -y- direction velocity component on
(x,y) plane given . İn this statement a
and v constant.For the flow area of this fluid find the vortex
vector of -z- direction component.? Note:X=0 for
U(x,y)=0
xy 2aV- = (و ,) ( +y)
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