In case of laminar flow of fluid through a circular pipe, the (A) Shear stress over the cross-section is proportional to the distance from the surface of the pipe (B) Surface of velocity distribution is a paraboloid of revolution, whose volume equals half the volume of circumscribing cylinder (C) Velocity profile varies hyperbolically and the shear stress remains constant over the cross-section (D) Average flow occurs at a radial distance of 0.5 r from the centre of the pipe (r = pipe radius)

In case of laminar flow of fluid through a circular pipe, the
(A) Shear stress over the cross-section is proportional to the distance from
the surface of the pipe
(B) Surface of velocity distribution is a paraboloid of revolution, whose
volume equals half the volume of circumscribing cylinder
(C) Velocity profile varies hyperbolically and the shear stress remains
constant over the cross-section
(D) Average flow occurs at a radial distance of 0.5 r from the centre of the
pipe (r = pipe radius)
by

1 Answer

Answer :

(B) Surface of velocity distribution is a paraboloid of revolution, whose
volume equals half the volume of circumscribing cylinder
by

Related questions

Pick out the wrong statement. (A) The form drag is dependent upon the occurrence of a wake (B) The shear stress at any given cross-section of a pipe for steady flow (either laminar or turbulent) varies linearly as the radial distance (C) An ideal fluid is the one, which has negligible surface tension and obeys the Newton's law of viscosity (D) Existence of the boundary layer in fluid flow is because of viscosity of the fluid

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Shear stress in a fluid flowing in a round pipe (A) Varies parabolically across the cross-section(B) Remains constant over the cross-section(C) Is zero at the centre and varies linearly with the radius(D) Is zero at the wall and increases linearly to the centre

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. In case of turbulent flow of fluid through a circular pipe, the (A) Mean flow velocity is about 0.5 times the maximum velocity (B) Velocity profile becomes flatter and flatter with increasing Reynolds number (C) Point of maximum instability exists at a distance of 2r/3 from the pipe wall (r = pipe radius) (D) Skin friction drag, shear stresses, random orientation of fluid particles and slope of velocity profile at the wall are more

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Pick out the wrong statement. (A) The shear stress at the pipe (dia = D, length = L) wall in case of laminar flow of Newtonian fluids is (D/4L). ∆p (B) In the equation, T. gc = k. (du/dy) n the value of 'n' for pseudoplastic and Dilatant fluid are < 1 and >1 respectively (C) Shear stress for Newtonian fluid is proportional to the rate of shear in the direction perpendicular to motion (D) With increase in the Mach number >0.6, the drag co-efficient decreases in case of compressible fluids

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The Prandtl mixing length is (A) Zero at the pipe wall and is a universal constant (B) Independent of radial distance from the pipe axis (C) Independent of the shear stress (D) Useful for computing laminar flow problems

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The distribution of shear stress in a stream of fluid in a circular tube is(A) Linear with radius for turbulent flow only(B) Linear with radius for laminar flow only(C) Linear with radius for both laminar & turbulent flow(D) Parabolic with radius for both laminar & turbulent flow

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The Nusselt number for fully developed (both thermally and hydrodynamically) laminar flow through a circular pipe whose surface temperature remains constant is (A) 1.66(B) 88.66 (C) 3.66 (D) Dependent on NRe only

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The fluid velocity varies as the cube of the cylindrical pipe diameter in case of steady state laminar flow at constant pressure drop for __________ fluid. (A) Newtonian (B) Pseudo-plastic (C) Dilatent (D) Bingham plastic

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The fluid velocity varies as the square of the cylindrical pipe diameter, in case of steady state laminar flow at constant pressure drop, for __________ fluid. (A) Newtonian (B) Dilatant (C) Pseudo-plastic (D) Non-Newtonian

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The fluid velocity varies as the square root of the cylindrical pipe diameter in case of steady state laminar flow at constant pressure drop of __________ fluid. (A) Dilatent (B) Pseudo-plastic (C) Bingham plastic (D) Newtonian

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The ratio of average fluid velocity to the maximum velocity in case of laminar flow of a Newtonian fluid in a circular pipe is (A) 0.5 (B) 1 (C) 2 (D) 0.66

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For laminar flow of Newtonian fluids through a circular pipe, for a given pressure drop and length & diameter of pipe, the velocity of fluid is proportional to (where, μ = fluid viscosity ) (A) μ (B) 1/μ (C) √μ (D) 1/√μ

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For turbulent flow of Newtonian fluid in a circular cross-section pipe, the ratio of maximum to average fluid velocity is (A) 0.5 (B) 1 (C) 0.66 (D) < 0.5

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For a laminar flow of fluid in a circular tube, 'h1 ' is the convective heat transfer co-efficient at velocity 'V1 '. If the velocity is reduced by half and assuming the fluid properties are constant, the new convective heat transfer co-efficient is (A) 1.26 h1(B) 0.794 h1(C) 0.574 h1(D) 1.741 h1

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The pressure drop per unit length for laminar flow of fluid through a long pipe is proportional to (where, A = cross-sectional area of the pipe & D = Diameter of the pipe) (A) A (B) D (C) 1/A (D) 1/A2

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Velocity distribution for flow between two fixed parallel plates (A) Varies parabolically across the section (B) Is constant over the entire cross-section (C) Is zero at the plates and increases linearly to the mid-plane (D) None of these

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Pick out the wrong statement pertaining to fluid flow. (A) The ratio of average velocity to the maximum velocity for turbulent flow of Newtonian fluid in circular pipes is 0.5 (B) The Newtonian fluid velocity in a circular pipe flow is maximum at the centre of the pipe (C) Navier-Stokes equation is applicable to the analysis of viscous flows

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Discharge in laminar flow through a pipe varies (A) As the square of the radius (B) Inversely as the pressure drop (C) Inversely as the viscosity (D) As the square of the diameter

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Pick out the wrong statement. (A) Momentum transfer in laminar flow results from velocity gradient (B) A fluid in equilibrium is not free from shear stress (C) The viscosity of a non-Newtonian fluid is a function of temperature only (D) Both (B) and (C)

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For a fluid rotating at constant angular velocity about vertical axis as a rigid body, the pressure intensity varies as the (A) Square of the radial distance (B) Radial distance linearly (C) Inverse of the radial distance(D) Elevation along vertical direction

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The velocity profile for a Bingham plastic fluid flowing (under laminar conditions) in a pipe is (A) Parabolic (B) Flat (C) Flat near the wall and parabolic in the middle (D) Parabolic near the wall and flat in the middle

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A hollow prismatic beam of circular section is subjected to a torsional moment. The maximum shear stress occurs at (a) inner wall of cross section (b) middle of thickness (c) outer surface of shaft (d) none of these

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Pick out the wrong statement: (A) Chemical reactions with high activation energy are very temperature sensitive (B) A flat velocity profile exists in a plug flow reactor (C) The residence time for all the elements of fluid in case of a P.F.R. need not be same (D) Half life of a reaction increases with increased initial concentration for reaction orders more than one

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The shear stress varies from centre to the surface of the shaft with (a) Uniform rate (b) Varying rate (c) Remains same (d) None of these

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Where does the maximum stress occur in case of laminar flow of incompressible fluid in a closed conduit of diameter 'd'? (A) At the centre (B) At d/4 from the wall (C) At the wall (D) At d/8 from the wall

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The Nusselt number for fully developed (both thermally and hydrodynamically) laminar flow through a circular pipe, where the wall heat flux is constant, is(A) 2.36(B) 4.36(C) 120.36(D) Dependent on NRe only

Description : The Nusselt number for fully developed (both thermally and hydrodynamically) laminar flow through a circular pipe, where the wall heat flux is constant, is (A) 2.36 (B) 4.36 (C) 120.36 (D) Dependent on NRe only

Last Answer : (B) 4.36

Transition from laminar flow to turbulent flow in fluid flow through a pipe does not depend upon the (A) Length of the pipe (B) Diameter of the pipe (C) Density of the fluid (D) Velocity of the fluid

Description : Transition from laminar flow to turbulent flow in fluid flow through a pipe does not depend upon the (A) Length of the pipe (B) Diameter of the pipe (C) Density of the fluid (D) Velocity of the fluid

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The shear stress at any section of a shaft is maximum (A) At the centre of the section (B) At a distance r/2 from the centre (C) At the top of the surface (D) At a distance 3/4 r from the centre

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In an ideal P.F.R. at steady state conditions (A) The composition of reactants remains constant along a flow path (B) The conversion of the reactant varies from point to point along a flow path (C) There is no lateral mixing of fluid (D) There may be diffusion along the flow path

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Last Answer : (B) The conversion of the reactant varies from point to point along a flow path

For turbulent flow in smooth circular pipe, the velocity distribution is a function of the distance 'd' measured from the wall of the pipe and the friction velocity 'v', and it follows a __________ relationship. (A) Logarithmic (B) Linear (C) Hyperbolic (D) Parabolic

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Last Answer : (A) Logarithmic

In a R.C section under flexure, the assumption that “a plane section before bending remains plane after bending” leads to (a) Strain distribution being linear across the depth (b) Stress distribution being linear across the depth (c) Both stress and strain distribution being linear across the depth (d) Shear stress distribution being uniform along the depth

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Last Answer : (a) Strain distribution being linear across the depth

In turbulent flow, the (A) Fluid particles move in an orderly manner (B) Momentum transfer is on molecular scale only (C) Shear stress is caused more effectively by cohesion than momentum transfer (D) Shear stresses are generally larger than in a similar laminar flow

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Last Answer : (D) Shear stresses are generally larger than in a similar laminar flow

In case of unsteady fluid flow, conditions & flow pattern change with the passage of time at a position in a flow situation. Which of the following is an example of unsteady flow? (A) Discharge of water by a centrifugal pump being run at a constant rpm (B) Water flow in the suction and discharge pipe of a reciprocating pump (C) Water discharge from a vertical vessel in which constant level is maintained (D) Low velocity flow of a highly viscous liquid through a hydraulically smooth pipe

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Last Answer : (B) Water flow in the suction and discharge pipe of a reciprocating pump

In laminar flow through a round tube, the discharge varies (A) Linearly as the viscosity (B) Inversely as the pressure drop (C) Inversely as the viscosity (D) As the square of the radius

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The laminar boundary layer thickness in zero pressure gradient flow over a flat plate along the x-direction varies as x0.5 while the thickness of turbulent boundary layer varies as (where, x = distance from the leading edge) (A) x1.5 (B) x0.8 (C) x-1.5 (D) x-0.8

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Last Answer : (B) x0.8

The ratio of maximum shear stress to average shear stress is 4/3 in _______ a. circular cross-section b. rectangular cross-section c. square cross-section d. all of the above

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he pressure drop per unit length of pipe incurred by a fluid 'X' flowing through pipe is Δp. If another fluid 'Y' having both the specific gravity & density just double of that of fluid 'X', flows through the same pipe at the same flow rate/average velocity, then the pressure drop in this case will be (A) Δp (B) 2Δp (C) Δp 2 (D) Δp/2

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Pick out the wrong statement. (A) A fluid mass is free from shearing forces, when it is made to rotate with a uniform velocity(B) Newton's law of viscosity is not applicable to the turbulent flow of fluidwith linear velocity distribution(C) Laminar flow of viscous liquids is involved in the lubrication of varioustypes of bearings(D) Rise of water in capillary tubes reduces with the increasing diameter ofcapillary tubes

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The region of the cross-section of a column in which compressive load may be applied without producing any tensile stress, is known as the core of the cross-section. In circular columns the radius of the core, is (A) One-half of the radius (B) One-third of the radius (C) One-quarter of the radius (D) One-fifth of the radius

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The region of the cross-section of a column in which compressive load may be applied without producing any tensile stress, is known as the core of the cross-section. In circular columns the radius of the core, is (a) One-half of the radius (b) One-third of the radius (c) One-quarter of the radius (d) One-fifth of the radius

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The head loss in turbulent flow in pipe is proportional to(where, V = velocity of fluid through the pipe) (A) V 2 (B) 1/V 2 (C) 1/V (D) V

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Which of the following is not an assumption in derivation of torsion equation? a. Circular shaft remains circular after twisting b. Plane section of the shaft remain plane after twisting c. Material of shaft is isotropic d. Angle of twist is proportional to radius

Description : Which of the following is not an assumption in derivation of torsion equation? a. Circular shaft remains circular after twisting b. Plane section of the shaft remain plane after twisting c. Material of shaft is isotropic d. Angle of twist is proportional to radius

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In case of a pipe of constant cross-sectional area, the maximum fluid velocity obtainable is (A) The velocity of sound (B) Dependent on its cross-sectional area (C) Dependent on fluid viscosity (D) Dependent on fluid density

Description : In case of a pipe of constant cross-sectional area, the maximum fluid velocity obtainable is (A) The velocity of sound (B) Dependent on its cross-sectional area (C) Dependent on fluid viscosity (D) Dependent on fluid density

Last Answer : (A) The velocity of sound

The Bernoulli's equation is based on the assumption that (A) There is no loss of energy of the liquid flowing (B) The velocity of flow is uniform across any cross-section of the pipe (C) No force except gravity acts on the fluid (D) All of the above

Description : The Bernoulli's equation is based on the assumption that (A) There is no loss of energy of the liquid flowing (B) The velocity of flow is uniform across any cross-section of the pipe (C) No force except gravity acts on the fluid (D) All of the above

Last Answer : Answer: Option D