# fluid machanics

5. ### Energy equation for fluid mechanics

1. Homework Statement Water is supplied at 4.50 m3/s and 415 kPa (abs) to a hydraulic turbine through a 1.0-m inside diameter inlet pipe as indicated in the figure. The turbine discharge pipe has a 1.2-m inside diameter. The static pressure at section (2), 3 m below the turbine inlet, is 25 cm...
6. ### B Splash mechanics on Mars

They found an underground lake on Mars last week! Given that the lake exists and is actually liquid (and has a surface), two obvious questions come to mind: 1. Will I be able to beet my earthly current record in bouncing a pebble there? 2. If I release a pebble from a given height here and...
7. ### Injector pressure drop in a liquid rocket engine

Hello everybody, I hope you are doing fine. I'm currently designing an injector for a hydrogen peroxide - ethanol engine, and the following formula is confusing me: Q = Cd * A * sqrt( 2 * dP / rho); where Cd is the discharge coefficient, A the total area, dP the pressure drop, and rho the...
8. ### Relationship between volumetric flow rate and pressure

Hello everybody, This is my first post. I've been working on a liquid rocket engine for a while, but I have never gotten to work on its feed system (fluid mechanics), until recently. We are using a very simple pressure fed system, and its main goal is to deliver the propellants at a specific...
9. ### Control volume, Fluid mechanics

1. Homework Statement I have a situation as illustrated by the image above, where the red box illustrates the CV. The pressure on the left side of CV is P1, while the pressure on the right side of CV is P2. Here I´ve directed the pressure forces acting inwards on CV. The problem arises with...
10. ### Rising of a liquid during rotataion in a cylinder

1. Homework Statement A 25-cm-diameter, 100-cm-high cylindrical container, (as shown), is partially filled with 75-cm-high liquid (density = 900 kg/m3). Determine the rotational speed at which the liquid will start spilling. Calculate the gauge pressure at the centre of the bottom of the tank...
11. ### Area of common surface of two bubbles

What will be the area of common surface of two identical bubbles of radius R , i know there common surface will be flat as the radius of curvature of comman surface will tends to Infinity , but how do i relate with area of flat surface I tried to use Energy = Surface tension * area And then...
12. ### Mathematica Solve Perturbation problem with mathematica

u'(1-epsilon(u')^2)=-y uo(1)=0 u1(1)=0 I need solve this problem with mathematica.
13. ### Difficuilt and/or interesting problems in fluid mechanics

1. Homework Statement Can anyone please give me hard and interesting problems regarding fluid mechanics problems such as hydrostatic and air prssure bouyance force and Bernoullis equation(Bernoullis equation problems only for liquids)? I tried looking for them but the ones I found were quite...
14. ### A hollow sphere sinks some fraction f in water..

1. Homework Statement When completely hollow. To what fraction of volume should water be poured into it so that it is just enough to cause the sphere to sink. 2. Homework Equations Archemedes : Buoyant fource equals weight of water displaced 3. The Attempt at a Solution Let's first...
15. ### Why must we use integral to find the resultant force?

1. Homework Statement Hydrostatic force on a plane surface ex: Hydrostatic force on a gate: 2. Homework Equations 3. The Attempt at a Solution why cant we just use the formula in the red box above for problem 3.57? instead I have to use integral I am confused, how does this gate...
16. B

### Finding torque in rotating cylinder (viscosity )

1. Homework Statement 2. Homework Equations τ= η* (dv/dy) 3. The Attempt at a Solution so dA= 2π* r * dr T = ∫ τ * r * dA T = ∫((0.01* r* 2*π * 450 /60)/(5*10^-3) ) * r * 2π* r *dr = (592.1762)*(r^4/4) T = 0.11 Nm is this correct?
17. D

### E-Balance for Jet Ejector

I am working on problem that has to deal with a jet ejector. For the life of me, I cannot figure out the E-Balance equation for it. Below is a cut away image of the ejector. The fluid is the same so using the ideal gas law I do not think should be included. Any help is greatly appreciated...
18. ### Mean section method

1. Homework Statement I have problem of obtaining the cross sectional area . 2. Homework Equations 3. The Attempt at a Solution Taking section 2-3 as an example , my working is [ (3.3 +4.8) / 2 ]* 5 = 20.25 , but the ans provided is 29.28 , how to get the 29.28 ?
19. ### Surface runoff

1. Homework Statement In my book , i was told that when the drainage of surface is high then the surface runoff will be low . However , i dont think it's correct . 2. Homework Equations 3. The Attempt at a Solution Definiton : Runoff can be described as the part of the water cycle that...
20. ### Flow thru a channel constriction

1. Homework Statement When a part of the channel is constricted , why will the Emin = Eo ? 2. Homework Equations 3. The Attempt at a Solution I just have the figure showing in case 1 and case 2, Emin = Eo without any explanation ... Can someone explain about it ? I tried to search many...
21. ### Possible Air Conditioning System?

Hello everyone! Summer is coming and instead of buying a $200-$400 air conditioner, I'd figure I could try a DIY version. I came up with a schematic (attached below) and how I think it would work. I feel like I'm missing something blatantly obvious that will make it not feasible. Wondering if...
22. ### Best hydraulic section

1. Homework Statement Determine the depth of the flow of channel if the best hydraulic channel is needd for composite channel in figure to convey flow rate of 6.5(m^3/s) , Manning coefficient n on bed slope are 0.015 and 0.0015 respectively . 2. Homework Equations 3. The Attempt at a...
23. ### I Does entropy increase behind surface tension?

Is there any entropic gain when the surface of a liquid is minimised? Per example, molecules "enjoy" maximum entropy when they are at the interior. Is this valid?
24. ### Should I learn fluid mechanics or thermodynamics

I am graduate student from structural mechanics of solids and need to learn 1 course from fluids and thermal group which includes fluid mechanics or thermodynamics+heat transfer. I am unsure which one would be better to learn, especially which would be helpful in future for solid mechanics. Can...
25. ### Container of Liquid Accelerated Upward

1. Homework Statement A block floats partially submerged in a container of liquid. When the entire container is accelerated upward, which of the following happens? Assume that both the liquid and the block are incompressible. A) The block descends down lower into the liquid. B) The block...
26. ### A problem about fluid mechanics

1. The problem statement, all variables and given/known d At what speed, the velocity head of water is equal to pressure head of 40 cm of Hg? (1) 10.32 m/s (2) 2.8 m/s (3) 5.6 m/s 2. Homework Equations v^2/2g = p/rho*g (velocity head= pressure head). 3. The Attempt at a Solution since...
27. ### Design a converging/diverging nozzle

I am intending to design a CD nozzle that produces 20mN thrust under atmospheric conditions. The reservoir pressure will be 1.4 bar, and the ambient pressure will be 1 bar. The other variables are adjustable. This will in the end be sent out for fabrication.My process is as follow, May I know...
28. ### Calculation of water flow rate in heat exchanger

I am not a mechanical engineer; but I have physics background. I want to lift about 250 watts of heat from a metal block. At the same time I have to maintain its temperature at 30 deg Cel. For this I want to use water-air heat exchanger (HE). Heat exchanger will have inlet & outlet pipes. Hot...
29. ### What research field is concerned with the mechanics of sand?

I am interested in conducting a research project involving the design of a tool to aid astronauts to perform experiments on lunar surfaces (for the NASA Micro-g NExT student challenge), but I do not know appropriate key words or questions to ask to begin my research. The specific scenario of...
30. ### I Strange Magnus Force in a Whirlpool

1. Imagine a big river with water flowing constant velocity , assume there is a whirlpool at center as shown in the figure. 2. Because of the magnus force the whirlpool should move towards left or right towards river bank depending on the spin, but it does't happens it just stays fine in its...