B.TECH - Semester 3 fluid mechanics Question Paper 2020 (may)
Practice authentic previous year university questions for better exam preparation.
- (b) A isosceles triangular plate of base 3 m and altitude 4 m is immersed vertically in an oil of specific gravity 0.8 . The base of the plate coincides with the free surface of oil. Determine
- (b) Verify whether the continuity equation is satisfied for a two dimensional incompressible steady flow field with velocity components in rectangular co-ordinate given by $u(x, y)=\frac{k\left(x^{2}-y^{2}\right)^{2}}{\left(x^{2}+y^{2}\right)^{2}}$ and $\quad v(x, y)=\frac{5 k x y}{\left(x^{2}+y^{2}...
- (b) A two dimensional incompressible flow field is given by equation
- (i) Total pressure on the plate (ii) Centre of pressure.
- Describe the analytical and experimental method of determination of the metacentric height of a floating body.
- (a) The velocity vector of 2-D fluid flow is given as: $V=(a y \sin x y) i+(a x \sin x y) j$. Find the expression for velocity potential function.
- (a) If potential function is $4 x y$, find $x$ and $y$ components of velocity at $(2,3)$ and $(4,4)$. Determine the discharge passing between stream lines through these points?
- (i) $\mathrm{V}=(C / r)$ (ii) $V=C r$, in which $V$ is the tangential velocity at a radius $r$ and $C$ is a constant. Determine for each case the circulation around a circle of radius $R$ and around a closed path formed by the arcs of two circles of radii $\mathrm{R}_{1}$ and $\mathrm{R}_{2}$ and th...
- (a) Water flows in a 500 mm pipe. Two pitot tubes are installed in the pipe, one on the centerline and the other 60 mm from the centerline. If the velocities at the two points are $4 \mathrm{~m} / \mathrm{sec}$ and $3 \mathrm{~m} / \mathrm{sec}$ respectively. Calculate the reading on the differentia...
- (b) Explain the following weirs :
- (i) Broad crested weir (ii) Submerged weir.
- (a) Define the hydraulic co-efficients used in an orifice. Outline the experimental determination of these hydraulic coefficients.
- (b) Find the time required to lower the water level from $3 m$ to $2 m$ in a reservoir of dimension $75 \mathrm{~m} \times 75 \mathrm{~m}$ by a rectangular notch of length 1.75 m . Take $\mathrm{C}_{\mathrm{d}}=0.62$.
- (a) Water is flowing through a pipe of diameter 350 mm with a rate of flow as $3001 / \mathrm{sec}$. If the pipe is bent by $135^{\circ}$, find the magnitude and direction of the resultant force on the bend. The pressure of water flowing in the pipe is 350 kPa .
- (b) Determine
- (i) pressure gradient (ii) shear Stress at the two horizontal parallel plates (iii) the discharge per metre width for the laminar flow of oil with a maximum velocity of $2.5 \mathrm{~m} / \mathrm{s}$ between two horizontal parallel plates which are 150 mm apart. Take $\mu=2.45 \mathrm{NS} / \mathrm{...
- A pipe line of 0.6 diameter is 2 km long. To increase the discharge another line of same diameter is introduced parallel to the first in the second half of the length. Neglecting minor losses, find the increase in discharge if $4 f=0.04$. The head at inlet is 250 mm . (20) 4670
- 303 - FLUID MECHANICS - I (C) Time : 3 Hours Max. Marks : 100 PART - A Answer all questions. Each question carries 4 marks.
- A stone weighs 400 N in air and 208 N in water. Calculate the volume of stone.
- Distinguish between temporal acceleration and convective acceleration
- What are the limitations of Bernoulli's theorem?
- Define impulse- momentum equation. Give some of the applications of the equation.
- What is a cipolletti weir? Prove that its side slopes of 1 horizontal to 4 vertical are provided for a specific purpose. ( $\mathbf{5} \boldsymbol{\times} \mathbf{4} \boldsymbol{=} \mathbf{2 0}$ Marks) PART - B Answer one full question from each Module. Each full question carries 20 marks.
- (a) A U-tube manometer containing mercury was used to find the negative pressure in the pipe, containing water. The right limb was open to the atmosphere. Find the vacuum pressure in the pipe, if the difference of mercury level in the two limbs was 70 mm and height of water in the left limb from the...
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