Leave a comment

Find all the study resources for Fluid Mechanics by Frank M. White. Solution Manual “Fluid Mechanics 7th Edition Chapter 3”. Pages: Check out all Solution manual “fluid mechanics 7th edition chapter 7” study documents. Solution Manual – Fluid Mechanics 4th Edition – Frank M. White. Sign in. Main menu.

Author: Tauzahn Disida
Country: Cambodia
Language: English (Spanish)
Genre: Music
Published (Last): 14 March 2012
Pages: 454
PDF File Size: 11.43 Mb
ePub File Size: 19.12 Mb
ISBN: 398-4-38710-472-6
Downloads: 70991
Price: Free* [*Free Regsitration Required]
Uploader: Zolocage

Is the formula homogeneous?

Use these values to estimate the total mass and total number of molecules of air in the entire atmosphere of the earth. But horizontal forces are out of balance, with the unbalanced force being to the left, due mechanivs the shaded excess-pressure triangle on the right side BC. Convert this water usage into a gallons per minute; and b liters per second. If M is proportional to L, find its form.

Vertical forces are presumably in balance with element weight included. The correct dimensionally homogeneous beam bending formula is thus:.

The mass of one molecule of air may be computed as. Now we have reduced the problem to:. In fact, B is not a constant, it hides one of the variables in pipe fluod. What is the only possible dimensionally homogeneous relation for this flow rate? For homogeneity, the right hand side must have dimensions of stress, that is. Using Tablewrite this equation in dimensional form:. The proper form of the pipe flow relation is. Clearly the formula cannot be dimensionally homogeneous, because B and H do not contain the dimension solutoin.


The formula admits to an arbitrary dimensionless constant C whose value can only be obtained from known data. Can this equation be used with confidence for a variety of liquids and gases? Test each term in sequence:. The parameter B must have dimensions of inverse length. Can you guess its name?

Actually, the Hazen-Williams formula, still in common use in the watersupply industry, is valid only for water flow in smooth pipes larger than 2-in. Arquivos Semelhantes solution manual Frank M.

Thus hydrostatic pressures cannot keep the element in balance, and shear and flow result. This is quite small. White Ana row Enviado por: The relation is now. If not, try to explain the difficulty and how it might be converted to a more homogeneous form.

Thus the final desired homogeneous relation for dam flow is:. Then the formula predict a mean free path of. The formula would be invalid for anything except English units ft, sec. This acceleration is negative, soltion expected, and reaches a minimum near point B, which is found by differentiating the acceleration with respect to x:.

Solution Manual – Fluid Mechanics 4th Edition – Frank M. White

Convert stress into English units: Clearly, the formula is extremely inconsistent and cannot be used with confidence for any given fluid or condition or units. Therefore the Stokes- Oseen formula derived in fact from a theory is dimensionally homogeneous. Write this formula in dimensional form, using Table Set up a differential equation for the ball motion and solve for the instantaneous velocity V t and position z t.


This group has a customary name, which begins with C. What are the dimensions of B? Substitute the given data into the proposed formula:. White – 5th edition solution manual Frank M.

Then convert everything to consistent units, for example, BG:.

The formula is therefore dimensionally solutioj and should hold for any unit system. Using the concepts from Ex.

Due to element weight, the pressure along the lower and right sides must vary linearly as shown, to a higher value at point C. By comparing with the answer to Prob. Without peeking into another textbook, find the form of the Galileo number if it contains g in the numerator.

Solution Manual – Fluid Mechanics 4th Edition – Frank M. White

The formula is dimensionally homogeneous and can be used with any system of units. From Table A-2, its viscosity is 1.

Find the maximum fraank zmax reached by the ball and compare your results with the elementary-physics case of zero air drag. This equation, like all theoretical partial differential equations in mechanics, is dimensionally homogeneous. Is this formula dimensionally homogeneous?

Is air rarefied at this condition?