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A two-dimensional, incompressible fluid flow is described by the stream function Ψ = xy 3 m2 /s on the Cartesian x-y plane. If the density and dynamic viscosity of the fluid are 1 kg/m3 and 0.1 kg/m-s, respectively, the magnitude of the pressure gradient in the x direction at x=1 m and y=1 m is _______ N/m3 (round off to 1 decimal place).0 AnswerThe velocity field in Cartesian coordinates in a two-dimensional steady incompressible flow of a fluid with density ρ is V = xi − yj. Assuming no body and line forces, the magnitude of pressure gradient ∇p at point (1,1) is0 AnswerConsider a laminar flow in the x-direction between two infinite parallel plates (Couette flow). The lower plate is stationary and the upper plate is moving with a velocity of 1 cm/s in the x-direction. The distance between the plates is 5 mm and the dynamic viscosity of the fluid is 0.01 N-s/m2 .0 AnswerC onsider a fully developed, two-dimensional and steady flow of a viscous fluid between two fixed parallel plates separated by a distance of 30 mm. The dynamic viscosity of the fluid is 0.01 kg/m-s and the pressure drop per unit length is 300 Pa/m. The fluid velocity at a distance of 10 mm from the bottom plate, in m/s, is ________.0 AnswerA two-dimensional incompressible frictionless flow field is given by ˆ ˆ u x y i j . If is the density of the fluid, the expression for pressure gradient vector at any point in the flow field is given as0 AnswerA nalysis of a flow phenomenon in a system requires the following variables: i. Pressure [M L1 T 2] ii. Velocity of the fluid [L T 1] iii. Size of the system [L] iv. Density of the fluid [M L3] v. Viscosity of the fluid [M L1 T 1] According to Buckingham Pi theorem (dimensional analysis) what is the number of independent DIMENSIONLESS variables needed to describe this system?1 AnswerThe power input P to a centrifugal pump is a function of the volume flow rate Q, impeller diameter D, rotational speed Ω, fluid density ρ, dynamic viscosity μ, and surface roughness ε. To carry out a dimensional analysis using Buckingham’s π theorem, which one of the following sets can be taken as the set of repeating variables?0 AnswerThe drag force, FD, on a sphere kept in a uniform flow field depends on the diameter of the sphere, D; flow velocity, V; fluid density, ρ; and dynamic viscosity, µ. Which of the following options represents the non-dimensional parameters which could be used to analyze this problem? - gate civil 2017 1 AnswerI n a two-dimensional, incompressible and irrotational flow, fluid velocity (v) in the ydirection is given by v 2x5y . The velocity (u) in the x-direction is0 AnswerBernoulli’s equation is applicable for (GATE-CIVIL-Engg-2018)2 AnswerIn a counter flow heat exchanger, hot fluid enters at 100°C and leaves at 50°C. Cold fluid enters at 30°C and leaves at 40°C. If heat losses are ignored, then the logarithmic mean temperature difference (LMTD) is ________ °C (round off to 1 decimal place).0 AnswerT he velocity field in a two-dimensional, unsteady flow is given by V(x, y, t) 2xy2 iˆ 3xyt ˆj m/s. The magnitude of acceleration of a fluid particle located at x = 1 m, y = 1 m at the time t = 1 s, in m/s2, is0 AnswerIn a Lagrangian system, the position of a fluid particle in a flow is described as x = xoe −kt and y = yoe kt where t is the time while xo, yo, and k are constants. The flow is (Gate 2018 Mechanical engineering)0 AnswerI n a two-dimensional, incompressible and irrotational flow, stream function ( (x, y) ) and velocity potential ( (x, y) ) exist. The velocities in x and y directions are non-zero.0 AnswerThe boundary layer thickness at the location of a sensor on a flat plate in an incompressible, laminar flow of air is required to be restricted to 1 mm for an effective measurement. If the flow velocity is 20 m/s with 1 bar pressure, 300 K temperature, and 1.789×10^˗5 kg/(m-s) viscosity, the maximum distance (in mm) of the sensor location from the leading edge is ________ (accurate to one decimal place). (GATE-Aerospace-Engineering-2018)1 AnswerThe viscosity, μ (in Pa.s) of a power law fluid as a function of shear rate, γ̇ (in s-1 ) is given by the following relation: Gate-2018-General-Aptitude0 AnswerTwo immiscible, incompressible, viscous fluids having same densities but different viscosities are contained between two infinite horizontal parallel plates, 2 m apart as shown below. The bottom plate is fixed and the upper plate moves to the right with a constant velocity of 3 m/s. With the assumptions of Newtonian fluid, steady, and fully developed laminar flow with zero pressure gradient in all directions, the momentum equations simplify to0 AnswerAn incompressible Newtonian fluid flows in a pipe of diameter D1 at volumetric flow rate Q . Fluid with same properties flows in another pipe of diameter 2 1 D D / 2 at the same flow rate Q . The transition length required for achieving fully-developed flow is 1 l for the tube of diameter D1 , while it is 2 l for the tube of diameter D2 . Assuming steady laminar flow in both cases, the ratio 1 2 l l is:0 AnswerIf the stream function ( ( , ) xy ) for a two-dimensional incompressible flow field is given as 2 2 2y x y , the corresponding velocity field is0 AnswerA water jet of 100 mm diameter issuing out of a nozzle at a speed of 50 m/s strikes a vane and flows along it as shown in figure. The vane is attached to a cart which is moving at a constant speed of 20 m/s on a frictionless track. The jet is deflected at an angle of 30o. Take the density of water as 1000 kg/m3. Neglecting the friction between the vane and the fluid, the magnitude of the force exerted by water on the cart in the x-direction, in N, is ______.0 Answer
VTU SYLLABUS 2010 (Civil) FLUID MECHANICS [10CV35] EngineeringCE2202 MECHANICS OF FLUIDS CE 2050 FINITE ELEMENT TECHNIQUESCE2253 APPLIED HYDRAULIC ENGINEERINGFluid Mechanics - 10CV35 VTU notesFluid Mechanics - 06ME46-B VTU notesMA2111 Mathematics - ICE2307 CONCRETE AND HIGHWAY ENGINEERING LAB Gate-2018-fluid-mechanicsAT 22 07 Fluid Mechanics and Machinery Laboratory