7.24. If a zone of unestablished flow may be idealized to the extent shown and the centerline may be treated as a streamline in an ideal fluid, calculate the drag force exerted by the sidewalls (between sections 1 and 2) on the fluid if the flow is: (a) two-dimensional and 0.3 m wide normal to the paper and (b) axisymmetric. The fluid flowing has specific gravity 0.90. 21 Parabola

7.24. If a zone of unestablished flow may be idealized to the extent shown and the centerline may be treated as a streamline in an ideal fluid, calculate the drag force exerted by the sidewalls (between sections 1 and 2) on the fluid if the flow is: (a) two-dimensional and 0.3 m wide normal to the paper and (b) axisymmetric. The fluid flowing has specific gravity 0.90. 21 Parabola

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

Two different flow fields over two different bodies are dynamically similar if (a) The streamline patterns are geometrically similar; TRUE OR FALSE (b) The non-dimensional distributions such as V/V∞, p/p∞, etc, are the same when plotted against common non-dimensional coordinates TRUE or FALSE? (c) Force coefficients are the same TRUE or FALSE? (d) State the criteria for two flows to be dynamically similar (e) An airplane flies at 800km/h at 11700m standard altitude where the ambient pressure and temperature are 20.335 kPA and 216.66K respectively. A 1/50 scale model of the airplane is tested in a wind tunnel where the temperature is 288K. Calculate the tunnel test section wind speed and pressure such that force coefficients of the model and prototype are the same. Assume viscosity is proportional to the square root of T. [ Hint: flow is viscous and compressible; equation of state for a perfect gas applies]
Figure 1) shows a tank of 20∘C water with a nozzle h = 27 cm below the surface. Bernoulli's equation applies to the flow between points 1 and 2 on the streamline, but not to the flow between points 2 and 3.What is the volume flow rate through the nozzle in L/min ? Assume that the water level in the tank is held constant.
Homework! Parts A-C and label them Question: A two-dimensional incompressible flow has the velocity components u = 5y and v = 4x. Part A - Check continuity equation is satisfied. Part B - Are the Navier-Stokes equations valid? Part C - If so, determine p(x,y) if the pressure at the origin is po. HINT *** : u = 5y and v = 4x.
Assume an inviscid, incompressible flow. Also, standard sea level density and pressure are 1.23 kg/m3 (0.002377 slug/ft3) and 1.01 × 105 N/m2(2116 lb/ft2), respectively. Prove that the flow field specified is not incompressible;i.e., it is a compressible flow as stated without proof .
A two-dimensional flow field has an x-component of velocity given in Cartesian coordinates by u = 2x − 3y. (a) Find v, the y-component of velocity, if the flow is incompressible and v = 0 when x = 0. (b) If the flow follows the Bernoulli equation, find an expression for the pressure distribution as a function of x and y, given that the pressure is p0 at the stagnation point.
Consider steady flow of water through an axisymmetric garden hose nozzle. Along the centerline of the nozzle, the water speed increases from uentrance to uexit as sketched. Measurements reveal that the centerline water speed increases parabolically through the nozzle, calculate the fluid acceleration along the nozzle centerline as a function of x and the given parameters.
6.) A 100-mm diameter plunger is being pushed at 60 mm/sec into a tank filled with oil having sp.gr. of 0.82.If the fluid incompressible, how many N/s of oil is being forced out at a 30-mm diameter hole? Answer: 3.78 N/s Subject: Fluid Mechanic Lesson: Relative Equilibrium of Liquids Fundamentals of Fluid Flow
Water falls down a vertical pipe by gravity alone. The flow between vertical locations z1 and z2 is fully developed, and velocity profiles at these two locations are sketched. Since there is no forced pressure gradient, pressure P is constant everywhere in the flow (P = Patm). Calculate the modified pressure at locations z1 and z2. Sketch profiles of modified pressure at locations z1 and z2. Discuss.
QUESTION: (ii) Use Buckingham's theorem to obtain in dimensionless form an expression for the force acting on a smooth sphere placed in an incompressible viscous flow filed .
Consider a 2-dimensional incompressible flow field. The vertical component of velocity forthe flow field is given by 2y. The pressure at (x, y) = 0,0 is given by 3 bar absolute. The densityof the fluid is 1.2 Kg/m3 . Find. a) x-component of velocity; b) acceleration at point (x, y) = 2,1;c) pressure gradient at the same point; d) pressure gradient along the x-axis; e) check whetherthe flow is irrotational; f) find the potential function; g) find the stream function; h) equationfor streamline and sketch few streamlines.
Liquid is pushed through the narrow gap formed between two glass plates. Thedistance between the plates is h and the width of the plate is b . Assuming that theflow is laminar, two-dimensional and fully developed, derive a formula for thelongitudinal pressure gradient in terms of the volumetric flow rate, Q, the fluid viscosityand the distances b and h .In an example the above conditions apply with b = 0.10 m and h = 0.00076 m. Theliquid is glycerine that has an absolute viscosity of 0.96 N s/m². A pressure differenceof 192 kN/m² is applied over a distance of 0.24 m. Calculate the maximum velocity thatoccurs in the centre plane of the gap and the mean velocity.Answer 0.06 m/s
Consider steady, incompressible, parallel, laminar flow of a film of oil falling slowly down an infinite vertical wall. The oil film thickness is h, and gravity acts in the negative z-direction. There is no applied (forced) pressure driving the flow—the oil falls by gravity alone., except for the case in which the wall is inclined at angle ?. Generate expressions for both the pressure and velocity fields. As a check, make sure that your result agrees with that of when ? = 90°. [Hint: It is most convenient to use the (s, y, n) coordinate system with velocity components (us, ?, un), where y is into the page in Fig. Plot the dimensionless velocity profile us* versus n* for the case in which ? = 60°.]