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AbdulRehman Butt

AbdulRehman B.

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INSTANT ANSWER

A fluid has a viscosity of 0.047Pa and specific gravity of 0.813. For the flow of such a fluid over a flat solid surface, the velocity at a point 75mm away from the surface is 1.125 m/s. Calculate the shear stresses at the solid boundary, at points 25mm , 50mm, and 75mm away from the boundary surface. assume (i) a linear velocity distribution and (ii) a parabolic velocity distribution with the vertex at the point 75 mm away from the surface where the velocity is 1.125m/s.

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INSTANT ANSWER

A fluid has a viscosity of 0.047Pa and specific gravity of 0.813. For the flow of such a fluid over a flat solid surface, the velocity at a point 75mm away from the surface is 1.125 m/s. Calculate the shear stresses at the solid boundary, at points 25mm , 50mm, and 75mm away from the boundary surface. assume (i) a linear velocity distribution and (ii) a parabolic velocity distribution with the vertex at the point 75 mm away from the surface where the velocity is 1.125m/s.

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(b) A fluid has an viscosity of \( 0.047 \) Pas and s specific gravity of \( 0.813 . \) For the flow of such a fluid over a flat solid surface, the velocity at a point \( 75 \mathrm{~mm} \) away from the surface is \( 1.125 \mathrm{~m} / \mathrm{s} \). Calculate the shear stresses at the solid boundary, at points \( 25 \mathrm{~mm}, 50 \mathrm{~mm} \), and \( 75 \mathrm{~mm} \) away from the boundary surface. Assume (i) a linear velocity distribution and (ii) a parabolic velocity distribution with the vertex at the point \( 75 \mathrm{~mm} \) away from the surface where the velocity is \( 1.125 \mathrm{~m} / \mathrm{s} \).

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\( A=\left[\begin{array}{lll}2 & 1 & 1 \\ 1 & 2 & 1 \\ 1 & 1 & 2\end{array}\right] \)

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Prove the following result \[ u^{-1}=1-\frac{\delta^{2}}{8}+3 \frac{\delta^{4}}{128} \]

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Q. 5 Find the QR-decomposition of the following matrix: \[ A=\left[\begin{array}{lll} 4 & 2 & 2 \\ 2 & 4 & 2 \\ 2 & 2 & 4 \end{array}\right] \]

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David Nguyen verified

Numerade educator

In a certain biological models, the human body's reaction to a particular kind of medication is measured by a function of the form F(M) = 1/3(kM^2 - M^3), 0 ? k ? M where k is a positive constant and M is the amount of medication absorbed in the blood? The sensitivity of the body to the medication is measured by the derivative S = F'(M). a. Show that the body is most sensitive to the medication when M = k/3. b. What is the average reaction to the medication for 0 ? M ? k/3.

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Mahipal Kumawat verified

Numerade educator

[ int_{-pi}^{pi} sin ^{2}(n x) d x=int_{-pi}^{pi} cos ^{2}(n x) d x=pi ] for any positive integers ( n ).

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\[ \int_{-\pi}^{\pi} \cos (m x) \sin (n x) d x=0 \] for positive integers \( m \) and \( n \).Also that

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William Semus verified

Numerade educator

Q No. 07: (a) Find the area under the curve y = cosx over the interval [0, ??/2] (b) Make a conjecture about the value of integral ?[0 to ?] cosxdx And confirm you conjecture using the Fundamental Theorem of Calculus.

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