Q1 Determine the dimensions of a and b so that the following equation is a dimensional homogencous equation. P = au+17.03 x 106. b2 p Where, P is the partial pressure u is the velocity, S is the specific gravity and p is density of the fluid
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Q: The drag force acting on a model torpedo, 1/20 the size of the prototype, is measured at 80 N in…
A: The Reynolds number for both prototype and the model must be the same. Therefore, the velocity of…
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A: To obtain the solution of the 1st part of the question, we will apply the Froude model law, which is…
Q: A two-dimensional Cauchy stress tensor is given as o=t@n₁+ anı n2, where t is an arbitrary vector…
A: σ = t ⊗ n1 + α n1 ⊗ n2
Q: Which of the following is not an application of the dimensional analysis? A. To find the…
A: following is the explanation for the above question-
Q: Determine whether the following equations are dimensionally homogeneous. h = gt? h represents a…
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Q: quation and show how units are equivalent: v = _/ N / (kg/m)
A: the solution of above problem is below
Q: Q1-(2.4-4, Holland): A fluid of density (p) and dynamic viscosity (µ) flows in s.s in a cylindrical…
A: Q1) Solution: We use Buckingham π theory to find the relation Let f(∆P,D,L,V,µ,ρ)=0 Total number of…
Q: Consider the following equation. All three of the terms in parentheses are dimensionless groups.…
A: Given thatD=0.008mDAB=0.475cm2/sμ=1.12×10-3Ns/m2ρ=106kg/m3V=15m/sKc=?
Q: What can be explained from the contour plot velocity magnitude around the cylinder
A: Flow around a rotating cylinder is comparable to the combination of stream past a cylinder and a…
Q: Dimensional analysis: O Is very helpful in determining speeds for dynamic similarity in model…
A: Dimensional analysis is used for?
Q: Q2:- If the velocity of flow v, dynamic viscosity u, bulk modulus of elasticity K and diameter of…
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Q: Determine whether the following equations are dimensionally homogeneous. 1 h 2 h represents a…
A: Given data h = 1/2 gt2
Q: Q2:- If the velocity of flow v, dynamic viscosity a, bulk modulus of elasticity K and diameter of…
A: ,
Q: What can be explained from the contour plot velocity magnitude around the cylinder? relates to the…
A: In the above question velocity contour plot around a cylinder is given. As per the given diagram we…
Q: Determine whether the following equations are dimensionally homogeneous.
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Q: While using the Buckingham pi theorem to obtain non-dimensional groups, the repeated variables are…
A: Non dimensional group = angular velocity x density x gravity x length x Diameter x velocity x…
Q: Andrade's equation is a proposed model of the effect of temperature on viscosity written as, H =…
A: Given: The Andrade's equation is, μ=DeBT Here, μ is the dynamic viscosity of water and T is the…
Q: The plate R in the figure below, bounded by the parabola y = x2 and y = 1, is submerged vertically…
A: Solution:- write the given parabolla, y=x2calculate the intersection point,…
Q: 2. Determine drag on the sphere for flow past a sphere (see the figure below) using these parameters…
A: The Law of Stoke is a mathematical equation expressing in a fluid medium the settling velocities of…
Q: Find the dimensions of K, knowing that P: Pressure, V: volume and that the following equation is…
A: Find the dimensions of K, knowing that P: Pressure, V: volume and that the following equation is…
Q: Q2 :-If the velocity of flow over surface v, Surface tension o, density of flowp length of surface…
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Q: An incompressible velocity field is given by u=a(x°y²-y), v unknown, w=bxyz where a and b are…
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Q: 1. The reason for the flight of the aircraft is that it is driven by the airflow from the lower part…
A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…
Q: A two-dimensional velocity field is given by v = xyi +3xtj, where x and y are in metres, t is in…
A: Given, V → = xy i^ + 3xt j^ m/s x component of velocity = u = xy y component of velocity = v = 3xt…
Q: Statics is the branch of fluid mechanics that is involved with the study of Rigid bodies. Select…
A: To state TRUE or FALSE
Q: MªL'T°Oª If the above-given dimension is belonging to "power", find the value of parameters a, b, c,…
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Q: 3. Andrade's equation is a proposed model of the effect of temperature on viscosity written as, H =…
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Q: pressure at a point is equal in all directions for a fluid at rest with respect to the stationa
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Q: The primary dimensions of kinematic viscosity are (a) m·L/t2 (b) m/L·t (c) L2/t (d ) L2/m·t (e)…
A: The kinematic viscosity is defined as the ratio of dynamic viscosity to the mass of fluid. the unit…
Q: What is the difference between a dimension and a unit? Give three examples of each.
A: A dimension is a measure of a physical variable (without numerical values), while a unit is a way to…
Q: If the kinematic viscosity of a * fluid is 20 stokes and specific gravity is 0.85, then the dynamic…
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Q: Prove that the pressure at a point is equal in all directions for a fluid at rest with respect to…
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Q: b) Convert 670 mmHg ft to metric horsepower·h
A: Given data: X=670 mmHg.ft3 Need to determine the unit in metric hoursepower*h.
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A: Consider the irrotational motion of the fluid. Calculate the velocity in the angular direction.…
Q: (b) A Formula 1 team tests their car in a wind tunnel at a scale of 50%, at a speed of VwinaTunnet =…
A: Given data: - The testing speed at wind tunnel on model car is vm = 50 m/s. The measured downward…
Q: Determine the kinematic viscosity in stokes of a fluid having dynamic viscosity 0.07 poise and…
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Q: By using dimensional analysis concept, express the wall shear stress for the pipe flow which is…
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Q: (Dimensional Analysis) If the velocity V in a fluid flow depends on a dimension 1, the fluid density…
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Q: 1.5C The laminar velocity profile for a Newtonian fluid is shown below. Height Velocity w Shear…
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Q: The drag force acting on a model torpedo, 1/20 the size of the prototype, is measured at 80 N in…
A: F= cd 12ρ A V2 cd = coeff of drag ρ = density A = reference areaV = velocity
Q: Slow flowing water is falling vertically after passing over a structure. Here, the height of the…
A: Given: Initial uniform velocity of water=V1 Final uniform velocity of water=V2 Here a is the height…
Q: Find the first and the second derivative of x = }at² + bt + c, where a, b, and c are con- stants.…
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Q: Convert 670 mmHg ft° to metric horsepower:h
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- Q1: Apply appropriate solution method using math principles to prove that "the pressure at a point in a fluid has the same magnitude in all directions". Support your answer with sketch. Answer: Px Pz = Pn P are the mean pressures at the three surfaces in the x- and z-directions. Q2: Formulate the issue and identify key variables to prove that [AP = P2 - P, = pg Az = y, Az], where y, and p are the specific weight and density of the fluid, respectively. Az is the vertical distance. Support your answer with sketch. Q3: From fluid mechanics science perspective, define the center of gravity and the center of pressure. Q4: Identify the hydrostatic force acting on the top surface of a submerged rectangular plate by applying principles of engineering for the following cases: 1 tilted plate, (2 vertical plate, and 3 horizontal plate. Support your answer with sketch. Q5: By applying principles of fluid mechanics science, define the "rigid-body" and identify its features. Q6: Formulate the issue…Mechanical Engineering The following equation is used to calculate a change in the kinetic energy of a moving mass: KE = 0.5 * m * (v2 - u2) Where the quantities are: the kinetic energy KE (in Joules), the mass m (in kg), the initial velocity u (in m/s) and the final velocity v (in m/s). Determine if the equation is dimensionally homogeneous or not.Water X 50-mm inside diameter The volume flow rate of the system The pressure at the point "A" The pressure at the point "B" 25-mm diameter As a consultant at one of the country's leading soft drink companies, you are tasked with evaluating the system depicted to determine the following parameters using Bernoulli's Equation if the values assigned to "X" and "Y" are 3m and 0.5m respectively: i. ii. iii.
- Pide Use Buckingham's PI Theorem to determine non-dimensional parameters in the phenomenon shown on the right (surface tension of a soap bubble). The variables involved are: R AP - pressure difference between the inside and outside R- radius of the bubble Pide Soap film surface tension (Gravity is not relevant since the soap bubble is neutrally buoyant in air)Using the following dimensional scales x' = x/l; y' = y/l; u' = u/U; v' = v/U; p' = p/(pU²); B' = B/(pU²/1); 0 = (T-T.)/AT; Re = UL/v; Pr = v/a; Sc = v/Dab, show that the governing equations can be written in the following non-dimensional form: continuity: x-motion: y-motion: Energy: Species a: du' ax' u +3y= 0 u' du' ax' Əx' +v' du' Əy' +v'. == ay' 30 u' +v'. Əx' ƏWA ax' де dy! +v' aw A Əy' др' ax' (0²u' a²u' + + 2/12 (3²1/²/² + 0²1/²1) + Bx Reax¹² dy' = ap' -1 (2²0² + 3²1/²) + By + ay' Reax¹² dyr² 1 a²0 a²0 dyr² Re Prax¹² + 1 ResTWA +2 J²WA ax¹2 ay ¹2If solving the question in 3D calculations is difficult, then use the 2D system to determine the equations of the filuid pressure. Select one: O True O False A beaker is filled with a liquid of density p1 up to a certain height. A is a point, h m downwards from the free surface of the liquid as shown. The liquid is replaced by equal volume of another liquid of density p2. If p1 > p2, how will the pressure at point A change? Free Surface Base a) remain same b) increase c) decrease d) become zero Select one: O A B O C D.
- Thermal conductivity k is a measure of the ability of a material to conduct heat. For conduction heat transfer in the x-direction through a surface normal to the x-direction, Fourier’s law of heat conduction is expressed as: Q=-kA.dT/dx where ?̇ is the rate of heat transfer and A is the area normal to the direction of heat transfer. Determine the primary dimensions of thermal conductivity (k). Look up a value of k and verify that its SI units are consistent with your result. Write a set of primary SI units for k.Here are these questions if I could get help with themIf a spherical storage tank holds 40,000 gallons (120,000 liters) of water,what diameter must it have?If a cylindrical storage tank has a 40-foot (12 m) diameter circular 05::=how high must it be to hold 1 million gallons (3 million liters)?If water is moving at a rate of 3.2 ft3/sec (90,000 cc/sec), how manygallons (liters) per minute is this?If the specific gravity of gold is 19.0. what is the weight of a cubic inch(cubic centimeter) of gold? A cubic foot (cubic meter)?1- The thrust (P l ) of a propeller depends upon diameter (D); speed (u) through a fluid density (p); revolution per minute (N); and dynamic viscosity (u) Show that: P = (p D² u²) f P Du [; where fis any function.
- %or l. ln. . o [Template] exami.. -> Ministry of Higher Education & Scientific Research Tikrit University College of Engineering Mechanical Engineering Dept. Class : 2nd year Subject: Principles of Fluid Mechanics Time: 1:15 hrs Date: 11/3 / 2021 Final Exam 2020-2021 Q1:-The gate AB as shown in fig.1 has long 1 m and wide 0.9 m .Find the force Fon The gate AB and also find the centre of pressure X 8 m 3 m Oil S-0.81 7 m Fig.1 Q2:- A wood cone floats in water in the position shown in fig.2.The specific gravity of the wood is 0.6.Would it be stable? D7m Fig.2 Water By Asst.Prof.Dr.Muhammad A.Eleiwi II >HW-1-.docx -> Q1/ complete the dimensional formula and SI units for table. US Physical Quantity SI. No Dimensional Formula S.I Unit customary unit Area (A) work (w) 3 Density (d) 4 Speed (s) stress (6) Acceleration (a) Q2/ Suppose we are told that the acceleration a of a particle moving with uniform speed v in a circle of radius r is proportional to some power of r, say r", and some power of v, say vm , also some power of mass, say m". Determine the values of n and m and o Q3/ Show that the expression (x, = x +v, t+ % a t) is dimensionally correct, where X, and x, are the position and a is the acceleration, and t is the time, v is the velocity.Time left 1:5 An ideal gas has its pressure (1.8) times and mass density (2.2) times increased. If the initial temperature is 265.4 °C, what is the final temperature in °C, and use one number after the decimal (xxx.x)? Answer: NEXT PAGE pe here to search DELL