For one dimensional flow of an incompressible fluid in unsteady state in x-direction, the continuity equation is given by (A) ∂u/∂x = 0 (B) ∂(ρu)/∂x = 0 (C) (∂u/∂x) = - (∂ρ/∂t) (D) ∂ρ/∂t = 0

For one dimensional flow of an incompressible fluid in unsteady state
in x-direction, the continuity equation is given by
(A) ∂u/∂x = 0
(B) ∂(ρu)/∂x = 0
(C) (∂u/∂x) = - (∂ρ/∂t)
(D) ∂ρ/∂t = 0
by

1 Answer

Answer :

(A) ∂u/∂x = 0
by

Related questions

Uniform fluid flow occurs, when the derivative of the flow variables satisfy the following condition. (A) ∂/∂t = 0 (B) ∂/∂t = constant (C) ∂/∂s = 0 (D) ∂/∂s = constant

Description : Uniform fluid flow occurs, when the derivative of the flow variables satisfy the following condition. (A) ∂/∂t = 0 (B) ∂/∂t = constant (C) ∂/∂s = 0 (D) ∂/∂s = constant

Last Answer : (C) ∂/∂s = 0

Steady fluid flow occurs, when the derivative of flow variables satisfy the following condition. (A) ∂/∂s = 0 (B) ∂/∂t = 0 (C) ∂/∂s = constant (D) ∂/∂t = constant

Description : Steady fluid flow occurs, when the derivative of flow variables satisfy the following condition. (A) ∂/∂s = 0 (B) ∂/∂t = 0 (C) ∂/∂s = constant (D) ∂/∂t = constant

Last Answer : (B) ∂/∂t = 0

Which of the following assumptions enables the Euler's equation of motion to be integrated? (A) The fluid is incompressible (B) The fluid is non-viscous (C) The continuity equation is satisfied (D) The flow is rotational and incompressible

Description : Which of the following assumptions enables the Euler's equation of motion to be integrated? (A) The fluid is incompressible (B) The fluid is non-viscous (C) The continuity equation is satisfied (D) The flow is rotational and incompressible

Last Answer : (A) The fluid is incompressible

Gibbs free energy (G) is represented by, G = H - TS, whereas Helmholtz free energy, (A) is given by, A = E - TS. Which of the following is the Gibbs Helmholtz equation? (A) [∂(G/T)/∂T] = - (H/T2) (B) [∂(A/T)/∂T]V = - E/T2 (C) Both (A) and (B) (D) Neither (A) nor (B)

Description : Gibbs free energy (G) is represented by, G = H - TS, whereas Helmholtz free energy, (A) is given by, A = E - TS. Which of the following is the Gibbs Helmholtz equation? (A) [∂(G/T)/∂T] = - (H/T2) (B) [∂(A/T)/∂T]V = - E/T2 (C) Both (A) and (B) (D) Neither (A) nor (B)

Last Answer : (C) Both (A) and (B)

Gibbs-Helmholtz equation is (A) ∆F = ∆H + T [∂(∆F)/∂T]P (B) ΔF = ΔH - TΔT (C) d(E - TS) T, V < 0 (D) dP/dT = ∆Hvap/T.∆Vvap

Description : Gibbs-Helmholtz equation is (A) ∆F = ∆H + T [∂(∆F)/∂T]P (B) ΔF = ΔH - TΔT (C) d(E - TS) T, V < 0 (D) dP/dT = ∆Hvap/T.∆Vvap

Last Answer : (A) ∆F = ∆H + T [∂(∆F)/∂T]P

Pick out the Clausius-Clapeyron equation from the following: (A) dP/dT = ∆H/T∆V (B) ln P = - (∆H/RT) + constant (C) ∆F = ∆H + T [∂(∆F)/∂T]P (D) None of these

Description : Pick out the Clausius-Clapeyron equation from the following: (A) dP/dT = ∆H/T∆V (B) ln P = - (∆H/RT) + constant (C) ∆F = ∆H + T [∂(∆F)/∂T]P (D) None of these

Last Answer : B) ln P = - (∆H/RT) + constant

Unsteady state heat conduction occurs, when (A) Temperature distribution is independent of time (B) Temperature distribution is dependent on time (C) Heat flows in one direction only (D) Three dimensional heat flow is concerned

Description : Unsteady state heat conduction occurs, when (A) Temperature distribution is independent of time (B) Temperature distribution is dependent on time (C) Heat flows in one direction only (D) Three dimensional heat flow is concerned

Last Answer : (B) Temperature distribution is dependent on time

The continuity equation is connected with (A) Open channel/pipe flow (B) Compressibility of fluids (C) Conservation of mass (D) Steady/unsteady flow

Description : The continuity equation is connected with (A) Open channel/pipe flow (B) Compressibility of fluids (C) Conservation of mass (D) Steady/unsteady flow

Last Answer : Answer: Option C

One dimensional flow implies (A) Flow in a straight line (B) Steady uniform flow (C) Unsteady uniform flow (D) A flow which does not account for changes in transverse direction

Description : One dimensional flow implies (A) Flow in a straight line (B) Steady uniform flow (C) Unsteady uniform flow (D) A flow which does not account for changes in transverse direction

Last Answer : (D) A flow which does not account for changes in transverse direction

As the temperature is lowered towards the absolute zero, the value of ∂(∆F)/∂T, then approaches (A) Unity (B) Zero (C) That of the heat of reaction (D) Infinity

Description : As the temperature is lowered towards the absolute zero, the value of ∂(∆F)/∂T, then approaches (A) Unity (B) Zero (C) That of the heat of reaction (D) Infinity

Last Answer : B) Zero

The equation of continuity holds good when the flow (A) Is steady (B) Is one dimensional (C) Velocity is uniform at all the cross sections (D) All of the above

Description : The equation of continuity holds good when the flow (A) Is steady (B) Is one dimensional (C) Velocity is uniform at all the cross sections (D) All of the above

Last Answer : Answer: Option D

Bernoulli's equation for fluid flow is derived following certain assumptions. Out of the assumptions listed below, which set of assumptions is used in derivation of Bernoulli's equation? A. Fluid flow is frictionless & irrotational. B. Fluid flow is steady. C. Fluid flow is uniform & turbulent. D. Fluid is compressible. E. Fluid is incompressible. (A) A, C, D (B) B, D, E (C) A, B, E (D) A, D, E

Description : Bernoulli's equation for fluid flow is derived following certain assumptions. Out of the assumptions listed below, which set of assumptions is used in derivation of Bernoulli's equation? A. Fluid flow is frictionless & irrotational. B. Fluid flow is ... A, C, D (B) B, D, E (C) A, B, E (D) A, D, E

Last Answer : (C) A, B, E

The continuity equation in ideal fluid flow states that (A) Net rate of inflow into any small volume must be zero (B) Energy is not constant along a streamline (C) Energy is constant along a streamline (D) There exists a velocity potential

Description : The continuity equation in ideal fluid flow states that (A) Net rate of inflow into any small volume must be zero (B) Energy is not constant along a streamline (C) Energy is constant along a streamline (D) There exists a velocity potential

Last Answer : (A) Net rate of inflow into any small volume must be zero

The continuity equation (A) Relates mass flow rate along a stream tube (B) Relates work and energy (C) Stipulates that Newton's second law of motion must be satisfied at every point in the fluid (D) None of these

Description : The continuity equation (A) Relates mass flow rate along a stream tube (B) Relates work and energy (C) Stipulates that Newton's second law of motion must be satisfied at every point in the fluid (D) None of these

Last Answer : (A) Relates mass flow rate along a stream tube

Which of the following must be followed by the flow of a fluid (real or ideal)? (I) Newton's law of viscosity. (II) Newton's second law of motion. (III) The continuity equation. (IV) Velocity of boundary layer must be zero relative to boundary. (V) Fluid cannot penetrate a boundary. (A) I, II, III (B) II, III, V (C) I, II, V (D) II, IV, V

Description : Which of the following must be followed by the flow of a fluid (real or ideal)? (I) Newton's law of viscosity. (II) Newton's second law of motion. (III) The continuity equation. (IV) Velocity of boundary layer must be zero relative to ... . (A) I, II, III (B) II, III, V (C) I, II, V (D) II, IV, V

Last Answer : (B) II, III, V

The Euler's equation for the motion of liquids is based upon the assumption that (A) The fluid is non - viscous, homogeneous and incompressible (B) The velocity of flow is uniform over the section (C) The flow is continuous, steady and along the stream line (D) All of the above

Description : The Euler's equation for the motion of liquids is based upon the assumption that (A) The fluid is non - viscous, homogeneous and incompressible (B) The velocity of flow is uniform over the section (C) The flow is continuous, steady and along the stream line (D) All of the above

Last Answer : Answer: Option D

A Newtonian fluid is that (A) Which follows Newton's law of motion (B) Which needs a minimum shear, before it starts deforming (C) For which shear & deformation are related as T = µ (∂u/∂y) (D) None of these

Description : A Newtonian fluid is that (A) Which follows Newton's law of motion (B) Which needs a minimum shear, before it starts deforming (C) For which shear & deformation are related as T = µ (∂u/∂y) (D) None of these

Last Answer : (C) For which shear & deformation are related as T = µ (∂u/∂y)

An ideal flow of any fluid must satisfy (A) Pascal law (B) Newton's law of viscosity (C) Boundary layer theory (D) Continuity equation

Description : An ideal flow of any fluid must satisfy (A) Pascal law (B) Newton's law of viscosity (C) Boundary layer theory (D) Continuity equation

Last Answer : Answer: Option D

An ideal flow of any fluid must fulfill the following (A) Newton's law of motion (B) Newton's law of viscosity (C) Pascal' law (D) Continuity equation

Description : An ideal flow of any fluid must fulfill the following (A) Newton's law of motion (B) Newton's law of viscosity (C) Pascal' law (D) Continuity equation

Last Answer : Answer: Option D

Pick out the wrong statement. (A) Surface tension of a liquid is because of the difference in magnitude of adhesive & cohesive forces(B) A hydrometer used for the determination of specific gravities of liquidsworks on the principle of buoyant forces(C) In case of unsteady fluid flow, the velocity at any given point does notchange with time(D) Turbulent fluid flow is characterised by the rapid fluctuation ofinstantaneous pressure & velocity at a poin

Description : Pick out the wrong statement. (A) Surface tension of a liquid is because of the difference in magnitude of adhesive & cohesive forces (B) A hydrometer used for the determination of ... Turbulent fluid flow is characterised by the rapid fluctuation of instantaneous pressure & velocity at a poin

Last Answer : (C) In case of unsteady fluid flow, the velocity at any given point does not change with time

Pick out the correct statement. (A) Fanning friction factor is inversely proportional to Reynolds number always (B) The property of a randomly packed bed (with raschig rings) is given by the ratio of the total volume to the volume of voids in the bed (C) Mach number in an incompressible fluid is always unity (D) Mach number is given by the ratio of the speed of the fluid to that of sound in the fluid under conditions of flow

Description : Pick out the correct statement. (A) Fanning friction factor is inversely proportional to Reynolds number always (B) The property of a randomly packed bed (with raschig rings) is given by the ratio of the ... the ratio of the speed of the fluid to that of sound in the fluid under conditions of flow

Last Answer : (D) Mach number is given by the ratio of the speed of the fluid to that of sound in the fluid under conditions of flow

Mach number is defined as the ratio of the local flow velocity to the sonic velocity in the fluid. For what value of Mach number, the gases are considered incompressible? (A) < 0.3 (B) > 3 (C) 50 (D) 1

Description : Mach number is defined as the ratio of the local flow velocity to the sonic velocity in the fluid. For what value of Mach number, the gases are considered incompressible? (A) < 0.3 (B) > 3 (C) 50 (D) 1

Last Answer : (A) < 0.3

For turbulent flow of an incompressible fluid through a pipe, the flow rate ‘Q’ is proportional to (Δ P)n, where ΔP is the pressure drop. The value of exponent 'n' is (A) 1 (B) 0 (C) < 1 (D) > 1

Description : For turbulent flow of an incompressible fluid through a pipe, the flow rate ‘Q’ is proportional to (Δ P)n, where ΔP is the pressure drop. The value of exponent 'n' is (A) 1 (B) 0 (C) < 1 (D) > 1

Last Answer : (C) < 1

The flow in which the particles of a fluid attain such velocities that varies from point to point in magnitude and direction as well as from instant to instant, is known as (A) One dimensional flow (B) Uniform flow (C) Steady flow (D) Turbulent flow

Description : The flow in which the particles of a fluid attain such velocities that varies from point to point in magnitude and direction as well as from instant to instant, is known as (A) One dimensional flow (B) Uniform flow (C) Steady flow (D) Turbulent flow

Last Answer : Answer: Option D

True one-dimensional flow occurs when (A) The direction and magnitude of the velocity at all points are identical (B) The velocity of successive fluid particles, at any point, is the same at successive periods of time (C) The magnitude and direction of the velocity do not change from point to point in the fluid (D) The fluid particles move in plane or parallel planes and the streamline patterns are identical in each plane

Description : True one-dimensional flow occurs when (A) The direction and magnitude of the velocity at all points are identical (B) The velocity of successive fluid particles, at any point, is the same ... fluid particles move in plane or parallel planes and the streamline patterns are identical in each plane

Last Answer : Answer: Option A

In deriving Bernoulli's equation, fluid is assumed to be (A) Incompressible, frictionless, steady, along a streamline (B) Uniform, steady, incompressible, along a streamline (C) Steady, density being pressure dependent, frictionless (D) None of these

Description : In deriving Bernoulli's equation, fluid is assumed to be (A) Incompressible, frictionless, steady, along a streamline (B) Uniform, steady, incompressible, along a streamline (C) Steady, density being pressure dependent, frictionless (D) None of these

Last Answer : (A) Incompressible, frictionless, steady, along a streamline

Applicability of Bernoulli's equation is limited to a/an __________ fluid, that does not exchange shaft work with the surroundings. (A) Incompressible (B) Non-viscous (C) Both (A) and (B) (D) Neither (A) nor (B)

Description : Applicability of Bernoulli's equation is limited to a/an __________ fluid, that does not exchange shaft work with the surroundings. (A) Incompressible (B) Non-viscous (C) Both (A) and (B) (D) Neither (A) nor (B)

Last Answer : (C) Both (A) and (B)

Nature of fluid flow during the opening of a valve in a pipeline is (A) Laminar (B) Unsteady (C) Steady (D) Uniform

Description : Nature of fluid flow during the opening of a valve in a pipeline is (A) Laminar (B) Unsteady (C) Steady (D) Uniform

Last Answer : (B) Unsteady

What causes convective acceleration in fluid flow? (A) Steep slope in flow (B) Unsteady nature of flow (C) Non-uniformity of flow (D) Turbulence in flow

Description : What causes convective acceleration in fluid flow? (A) Steep slope in flow (B) Unsteady nature of flow (C) Non-uniformity of flow (D) Turbulence in flow

Last Answer : (C) Non-uniformity of flow

In which type of fluid flow, the velocity of flow of fluid changes from point to point in the fluid at any instant? (A) Rotational (B) Unsteady (C) Turbulent (D) Non-uniform

Description : In which type of fluid flow, the velocity of flow of fluid changes from point to point in the fluid at any instant? (A) Rotational (B) Unsteady (C) Turbulent (D) Non-uniform

Last Answer : (D) Non-uniform

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

Description : 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) ... level is maintained (D) Low velocity flow of a highly viscous liquid through a hydraulically smooth pipe

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

The equation relating E, P, V and T which is true for all substances under all conditions is given by (∂E/∂V)T = T(∂P/∂T)H - P. This equation is called the (A) Maxwell's equation (B) Thermodynamic equation of state (C) Equation of state (D) Redlich-Kwong equation of state

Description : The equation relating E, P, V and T which is true for all substances under all conditions is given by (∂E/∂V)T = T(∂P/∂T)H - P. This equation is called the (A) Maxwell's equation (B) Thermodynamic equation of state (C) Equation of state (D) Redlich-Kwong equation of state

Last Answer : (B) Thermodynamic equation of state

The continuity equation (A) Is independent of the compressibility of the fluid (B) Is dependent upon the viscosity of the fluid (C) Represents the conservation of mass (D) None of these

Description : The continuity equation (A) Is independent of the compressibility of the fluid (B) Is dependent upon the viscosity of the fluid (C) Represents the conservation of mass (D) None of these

Last Answer : (C) Represents the conservation of mass

The continuity equation of fluid mechanics utilises the principle of conservation of (A) Momentum (B) Mass (C) Energy (D) Both (B) & (C)

Description : The continuity equation of fluid mechanics utilises the principle of conservation of (A) Momentum (B) Mass (C) Energy (D) Both (B) & (C)

Last Answer : (B) Mass

The energy equation, E + (p/ρ) + (V 2 /2g) + gZ = constant (E = internal energy/mass), is applicable to (A) Perfect gases only (B) Isothermal flow of gases (C) Adiabatic unsteady flow of gases (D) All compressible fluids

Description : The energy equation, E + (p/ρ) + (V 2 /2g) + gZ = constant (E = internal energy/mass), is applicable to (A) Perfect gases only (B) Isothermal flow of gases (C) Adiabatic unsteady flow of gases (D) All compressible fluids

Last Answer : (D) All compressible fluids

Select the wrong statement pertaining to flow of an incompressible fluid through a Venturimeter. (A) For frictionless flow, the fluid pressure entering the venturi meter will be exactly equal to that leaving the Venturimeter(B) Discharge of fluid through a Venturimeter depends upon the gagedifference irrespective of the orientation of Venturimeter(C) Venturimeter occupies less space than an orificemeter(D) Venturimeter incurs less power loss compared to an equivalentorificemeter

Description : Select the wrong statement pertaining to flow of an incompressible fluid through a Venturimeter. (A) For frictionless flow, the fluid pressure entering the venturi meter will be exactly equal ... than an orificemeter (D) Venturimeter incurs less power loss compared to an equivalent orificemeter

Last Answer : (C) Venturimeter occupies less space than an orificemeter

In a fully turbulent flow (Re > 10 5 ) in a pipe of diameter 'd', for a constant pressure gradient, the dependence of volumetric flow rate of an incompressible fluid is (A) d(B) d2(C) d2.5(D) d

Description : In a fully turbulent flow (Re > 10 5 ) in a pipe of diameter 'd', for a constant pressure gradient, the dependence of volumetric flow rate of an incompressible fluid is (A) d (B) d 2 (C) d 2.5 (D) d

Last Answer : (C) d 2.5

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

Description : 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

Last Answer : (C) At the wall

In an incompressible flow of fluid, the fluid (A) Temperature remains constant (B) Compressibility is greater than zero (C) Density does not change with pressure & temperature (D) Is frictionless

Description : In an incompressible flow of fluid, the fluid (A) Temperature remains constant (B) Compressibility is greater than zero (C) Density does not change with pressure & temperature (D) Is frictionless

Last Answer : (C) Density does not change with pressure & temperature

__________ flow means the flow of incompressible fluid with no shear. (A) Potential (B) Streamline (C) Creep (D) Boundary layer

Description : __________ flow means the flow of incompressible fluid with no shear. (A) Potential (B) Streamline (C) Creep (D) Boundary layer

Last Answer : (A) Potential

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

Description : 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. ... to motion (D) With increase in the Mach number >0.6, the drag co-efficient decreases in case of compressible fluids

Last Answer : (D) With increase in the Mach number >0.6, the drag co-efficient decreases in case of compressible fluids

A flow in which the viscosity of fluid is dominating over the inertia force is called (A) Steady flow (B) Unsteady flow (C) Laminar flow (D) Turbulent flow

Description : A flow in which the viscosity of fluid is dominating over the inertia force is called (A) Steady flow (B) Unsteady flow (C) Laminar flow (D) Turbulent flow

Last Answer : Answer: Option C

Bernoulli's equation is not applicable, when the flow is (A) Irrotational (B) Incompressible(C) Viscous(D) All (A), (B) & (C

Description : Bernoulli's equation is not applicable, when the flow is (A) Irrotational (B) Incompressible (C) Viscous (D) All (A), (B) & (C

Last Answer : (D) All (A), (B) & (C)

A flow in which the volume of a fluid and its density does not change during the flow is called _________ flow. (A) Incompressible (B) Compressible (C) Viscous (D) None of these

Description : A flow in which the volume of a fluid and its density does not change during the flow is called _________ flow. (A) Incompressible (B) Compressible (C) Viscous (D) None of these

Last Answer : Answer: Option A

The flow in which the velocity vector is identical in magnitude and direction at every point, for any given instant, is known as (A) One dimensional flow (B) Uniform flow (C) Steady flow (D) Turbulent flow

Description : The flow in which the velocity vector is identical in magnitude and direction at every point, for any given instant, is known as (A) One dimensional flow (B) Uniform flow (C) Steady flow (D) Turbulent flow

Last Answer : Answer: Option B

A fluid element has a velocity V = -y 2 . xi + 2yx 2 . j. The motion at (x, y) = (1/√2, 1) is (A) Rotational and incompressible (B) Rotational and compressible (C) Irrotational and compressible (D) Irrotational and incompressible

Description : A fluid element has a velocity V = -y 2 . xi + 2yx 2 . j. The motion at (x, y) = (1/√2, 1) is (A) Rotational and incompressible (B) Rotational and compressible (C) Irrotational and compressible (D) Irrotational and incompressible

Last Answer : (B) Rotational and compressible

For ideally incompressible fluid, the Mach number will be(A) 1.5 (B) 1 (C) 0 (D) 5

Description : For ideally incompressible fluid, the Mach number will be (A) 1.5 (B) 1 (C) 0 (D) 5

Last Answer : (B) 1

Upto what value of 'Mach number', a fluid may be considered as incompressible? (A) 0.03 (B) 0.3 (C) 3(D) 10

Description : Upto what value of 'Mach number', a fluid may be considered as incompressible? (A) 0.03 (B) 0.3 (C) 3 (D) 10

Last Answer : (D) 10

For an incompressible fluid, the bulk modulus of elasticity is (A) 5 kg/m3 (B) ∞ N/m2 (C) 1 N (D) 0 N/m

Description : For an incompressible fluid, the bulk modulus of elasticity is (A) 5 kg/m3 (B) ∞ N/m2 (C) 1 N (D) 0 N/m

Last Answer : (B) ∞ N/m2