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One important quantity to characterise a fluid is the circulation Given Γ, a closed oriented path...
Consider a medical device where blood is circulated in the annular space between two coaxial cyli...
do
the second prob pic
Consider a medical device where blood is circulated in the annular space between two coaxial cylinders (Figure 1). The inner cylinder (radius cylinder (radius R) is rotating with constant anacibeNewtonian fluid (density o. are infinitely long, and that blood behaves as an tncompcessiole viscosity . Ignore the effect of gravity. whereas the outer velocity oAssume that the cylinders 1a. Write a conservation equations appropriate to determine the fluid velocity profile insido the annular gap, along...
solve each part separately and indicate your answer clearly with solutions Problem 2: Spherical Hole in an Incompres...
solve each part separately and indicate your answer
clearly with solutions
Problem 2: Spherical Hole in an Incompressible Fluid Consider an ideal incompressible luid p . A) u infinite extent. At tine-t 0 a spherical lik-of radius a exists in the luid. Assume that initially the fluid velocity f is zero everywhere and that at very large distance froti the hole the pressure is Pi and the hal elocity remains equal to zera at large distance. Iore the elects of...
d) If the fluid gap thickness R -R is dacreased (with all other relevant parameters held constant), will the rotation r...
d) If the fluid gap thickness R -R is dacreased (with all other relevant parameters held constant), will the rotation rate 2 A circular shaft is mounted in a bearing as shown. There is a smal pap between the stationary inner shaft and the outer rotating bearing filled with a viscous, incompreasible Newtonian fluid. The sha turns with a constant rotation rate o in radsec) due to the downward motion of the attached weight pulling oa the ccrd attached to...
MIT Marine Hydrodynamics Spring 2005 Problem Set 5B Please solve these for me thanks ! :)...
MIT Marine Hydrodynamics Spring 2005 Problem Set 5B
Please solve these for me thanks ! :)
1. Supplementary Problem 12 2. A fluid jet issues from a long vertical slot and strikes against a vertical flat plate at an angle. The resulting two-dimensional steady flow in a horizontal plane is shown below. The plate is frictionless (a) If the volume flow rate of a vertical section of the jet before it strikes the plate is Q A, where A, is...
Consider the case of a Newtonian fluid undergoing laminar, pressure-driven flow between two parallel, infinite flat...
Consider the case of a Newtonian fluid undergoing laminar, pressure-driven flow between two parallel, infinite flat plates separated by a distance B (Figure). The bottom plate is stationary and the top plate moves at a constant velocity Vup. For a constant dynamic pressure gradient, AP/AX, P-p-g r, we wish to calculate the resulting velocity profile. 9--(%) + mai Differentiation equation: B.C.v. (y=0) -0,vxly - B) - Vu Figure 1.10 Pressure-driven flow between two infinite, parallel, flat plates. (i) () Use...
I can't figure out the formula for each one? Home Insert Draw Page Layout Formulas Data...
I can't figure out the formula for each one?
Home Insert Draw Page Layout Formulas Data Review View 2 E E N DO E Get Add-ins G?- c rv - the slicer e Timeline Link New Comm Plvot Table Recommended Table Pictures Shapes Icons My Add-ins v Recommended 0 vN Maps PivotChart Sparklines Pivot Tables Charts 015 , X fx ACDEFGHIJKLMNOP T U Problem 1: Bernoulli's equation relates the pressure and velocity of a fluid. It states: p+50V2 + pgh...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
do
the second prob pic
Consider a medical device where blood is circulated in the annular space between two coaxial cylinders (Figure 1). The inner cylinder (radius cylinder (radius R) is rotating with constant anacibeNewtonian fluid (density o. are infinitely long, and that blood behaves as an tncompcessiole viscosity . Ignore the effect of gravity. whereas the outer velocity oAssume that the cylinders 1a. Write a conservation equations appropriate to determine the fluid velocity profile insido the annular gap, along...
solve each part separately and indicate your answer
clearly with solutions
Problem 2: Spherical Hole in an Incompressible Fluid Consider an ideal incompressible luid p . A) u infinite extent. At tine-t 0 a spherical lik-of radius a exists in the luid. Assume that initially the fluid velocity f is zero everywhere and that at very large distance froti the hole the pressure is Pi and the hal elocity remains equal to zera at large distance. Iore the elects of...
d) If the fluid gap thickness R -R is dacreased (with all other relevant parameters held constant), will the rotation rate 2 A circular shaft is mounted in a bearing as shown. There is a smal pap between the stationary inner shaft and the outer rotating bearing filled with a viscous, incompreasible Newtonian fluid. The sha turns with a constant rotation rate o in radsec) due to the downward motion of the attached weight pulling oa the ccrd attached to...
MIT Marine Hydrodynamics Spring 2005 Problem Set 5B
Please solve these for me thanks ! :)
1. Supplementary Problem 12 2. A fluid jet issues from a long vertical slot and strikes against a vertical flat plate at an angle. The resulting two-dimensional steady flow in a horizontal plane is shown below. The plate is frictionless (a) If the volume flow rate of a vertical section of the jet before it strikes the plate is Q A, where A, is...
Consider the case of a Newtonian fluid undergoing laminar, pressure-driven flow between two parallel, infinite flat plates separated by a distance B (Figure). The bottom plate is stationary and the top plate moves at a constant velocity Vup. For a constant dynamic pressure gradient, AP/AX, P-p-g r, we wish to calculate the resulting velocity profile. 9--(%) + mai Differentiation equation: B.C.v. (y=0) -0,vxly - B) - Vu Figure 1.10 Pressure-driven flow between two infinite, parallel, flat plates. (i) () Use...
I can't figure out the formula for each one?
Home Insert Draw Page Layout Formulas Data Review View 2 E E N DO E Get Add-ins G?- c rv - the slicer e Timeline Link New Comm Plvot Table Recommended Table Pictures Shapes Icons My Add-ins v Recommended 0 vN Maps PivotChart Sparklines Pivot Tables Charts 015 , X fx ACDEFGHIJKLMNOP T U Problem 1: Bernoulli's equation relates the pressure and velocity of a fluid. It states: p+50V2 + pgh...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
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