Which choice is not a scaling parameter used to nondimensionalize the equations of motion? (a) Characteristic length, L (b) Characteristic speed, V (c) Characteristic viscosity, ? (d ) Characteristic frequency, f (e) Gravitational acceleration, g
Q: For turbulent flow modelling the Navier-Stokes equations and the k- ɛ equations are connected via…
A:
Q: A fluid (Prandtl number, Pr = 1) at 500 K flows over a flat plate of 1.5 m length, maintained at 300…
A:
Q: Consider the common situation in which a researcher is trying to match the Reynolds number of a…
A:
Q: A solid cylinder of diameter D , length L , and density ρ sfalls due to gravity inside a tube of…
A: The diagram of a solid cylinder inside the tube is given as, The shear stress due to viscosity is…
Q: Q 3. A submarine of length 160 m, average diameter of 15 m moves through seawater with kinematic…
A:
Q: f forced convection uses Reynolds number to account for fluid movement during forced convection,…
A: Explanation As we know that forced convection uses Reynolds number to account for fluid movement…
Q: Select all flow visualization techniques for gas flow at 1500m/s at sea level, among them, which can…
A: The skill of making flow patterns visible is known as flow visualization. Because most fluids (air,…
Q: An incompressible Newtonian liquid is confined between two concentric circular cylinders of infinite…
A: The general equation for velocity for incompressible flow in the polar coordinates (r, ?) is given…
Q: B2) An automotive engine can be assumed as rectangular block with approximation size 0.4 m high, 0.6…
A:
Q: (a) Compare generally the characteristics of zero-equation, one-equation and two-equation turbulence…
A: Turbulence modeling's major goal is to use equations to predict time-averaged velocity,…
Q: In fluid flow analyses, which boundary condition can be expressed as V-›fluid =V-›wall? (a) No-slip…
A: In the fluid flow analysis with the boundary condition when on the wall ,the velocity of the fluid…
Q: b) Air at temperature of 60 °C moves over a long flat plate with a uniform free stream velocity of…
A:
Q: for two-dimensional, uncompressed, irrotational flow, examine the superposition of double flow with…
A: Unifrom flow and doublet flow superposition (flow past a circular cylinder) for the 2-D,…
Q: For creeping flow over a three-dimensional object, the aerodynamic drag on the object does not…
A: Creeping flow is also known as Stokes Flow. Drag is the resisting force acting in the opposite…
Q: The drag coefficient in aircraft industry affected by some parameters which are the speed of plane…
A: The drag coefficient will affect by parameters.
Q: The drag coefficient in aircraft industry affected by some parameters which are the speed of plane…
A: DRAG COEFFICIENT Drag Force (D) is defined as the force that opposes the motion of a fluid-filled…
Q: The Blasius boundary layer profile is an exact solution of the boundary layer equations for flow…
A: Writing the sine series as follows,
Q: A stirrer is used to mix chemicals in a large tank. The shaft power W . supplied to the stirrer…
A: Writing the dimension of the following,
Q: A tiny aerosol particle of density ?p and characteristic diameter Dp falls in air of density ? and…
A: The terminal setting speed (V) is a function of diameter (Dp), kinetic viscosity (μ), acceleration…
Q: For each statement, choose whether the statement is true or false, and discuss your answer briefly:…
A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…
Q: FLUID MECHANICS 1. Explain and cite an example of the following: a) Fluid Statics b) Fluid…
A: Fluid Statics:- Fluid statics is the part of fluid mechanics that deals with fluids when there is…
Q: FLUID MECHANICS 0.5m by 2m flat thin plate is moved at 5m/s on a 2-mm thick layer of SAE30 oil at…
A:
Q: Write the primary dimensions of each of the following variables from the field of thermodynamics,…
A: Part A) Write the primary dimension for energy.
Q: 20degC water flows to 50cmx60cm flat plate with velocity of 6m/s . The flat plate surface…
A: Given data-L=50cm=0.5 mW=60cm=0.6mTs=40°CT∞=20°CV∞=6 m/s x=1 cm=0.01mThe properties of water at…
Q: Consider a boundary layer growing along a thin flat plate. This problem involves the following…
A: The boundary layer thickness depends upon the following four parameters: downstream distance, free…
Q: Q.5 A plate 1 mm distance from a fixed plate, is moving at 500 mm/s by a force induces a shear…
A: Data given- u= 500 mm/s = 0.5 m/s y= 1 mm = 0.001 m Shear stress = 0.3 kgf /m2 = 0.3 × 9.81 N/m2…
Q: Consider a boundary layer growing along a thin flat plate. This problem involves the following…
A: Boundary layer thickness is the distance between the wall and bulk fluid flow and its dimension is,…
Q: A boundary layer is flowing on a flat plate where the freestream velocity is 24 m/s, and the…
A: Solution: Given Data: U∞=24 m/sv=1.5×10-5 m2/sf=95 HzF=2πfvU∞2
Q: An important parameter in fluid flow problemsinvolving thin films is the Weber number (We) which…
A:
Q: The standard density of air is p= 1.29x10³gr/cm³, (v) = 4.6x104cm/s, and that the thermal…
A: Given data, The Sutherland constant of the air, C = 120 The speed of sound, v = 4.6×104 cm/s v = 460…
Q: A blimp is approximated by a prolate spheroid 90 m longand 30 m in diameter. Estimate the weight of…
A: Given Data: The length of blimp is L = 90m. The diameter of blimp is D = 30 m. Temperature of blimp…
Q: iðhal flow, Nondimensionalize the continuity and Navier-Stokes equations (for tw momentum only).…
A: Non dimensional the continuity (for 2D) and x- momentum nevier stoke…
Q: 'hy is it important when assessing indoor air quality to re arameters of the turbulence model as…
A: introduction The structure gives asylum to live and most individuals invest their 85-90% energy…
Q: Assumptions: The flow is steady, The flow is incompressible, The flow is two-dimensional in the x-y…
A: Solution:
Q: The drag force FD on a cylinder of diameter d and length l is to be studied. What functional form…
A:
Q: unknown 30°C liquid (S.G. = 0.85) flows into a surface which creates a shear stress of 0.20 N/m2 and…
A:
Q: :For cross flow and details shown below the convection heat rate per unit length Q is L=0.15 m,…
A:
Q: (a) Compare generally the characteristics of zero-equation, one-equation and tWo-equatior turbulence…
A: Turbulence modeling's major goal is to use equations to predict time-averaged velocity,…
Q: d (Prandtl number, Pr = 1) at 500 K flows over a flat plate of 1.5 m length, maintained at 300 K.…
A: Given:Pr=1L=1.5 mV=10 m/sv=30*10-6 m2/sx=0.5 m
Q: Summarize the eight steps involved in a typical CFD analysis of a steady, laminar flow field
A: Here are the steps that are involved in performing CFD analysis of a steady laminar flow field. The…
Q: Henri Darcy, a French engineer, proposed that the pressuredrop ∆ p for fl ow at velocity V through a…
A: ∆pρ=αLV2α=∆pρLV2 Express each term in its dimensional form…
Q: choose whether the statement is true or false and discuss your answer brieflyGeometric similarity is…
A: True.
Q: An important parameter in fluid flow problems involving thin films is the Weber number (We) which…
A: In fluid mechanics Several terms comes frequently, For our convenience these termed as single term…
Q: The following rheological data were collected on a new "Thick 'n Spicy" brand of tomato catsup at…
A: To Plot: The values in graph and classify the fluid. Given: The rheological data is shown below:…
Q: (a) Compare generally the characteristics of zero-equation, one-equation and two-equation turbulence…
A: Turbulence modeling's major goal is to use equations to predict time-averaged velocity,…
Q: Consider the pipe annulus sketched in fig. Assume that the pressure is constant everywhere (there is…
A: The x-momentum equation is given by. ρ∂u∂t+u∂u∂r+uθr∂u∂θ+u∂u∂x=∂P∂x+ρgx+μ1r∂∂rr∂u∂r+1r2∂2u∂θ2+∂2u∂x2…
Q: the differential equation for conservation of mass, the continuity equation. In cylindrical…
A: given steady flow equation 1r∂rur∂r+1r∂uθ∂θ+∂uZ∂Z=0
Which choice is not a scaling parameter used to nondimensionalize the equations of motion? (a) Characteristic length, L (b) Characteristic speed, V (c) Characteristic viscosity, ? (d ) Characteristic frequency, f (e) Gravitational acceleration, g
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
- A- Womersley number (a) of a human aorta is 20 and for the rabbit aorta is 17, the blood density is approximately the same across the species. The values of viscosity were 0.0035 Ns/m² for the human and 0.0040 Ns/m² for the rabbit. The diameter of the aorta is 2.0 cm for the man, and 0.7 cm for the rabbit, estimate the heart rate beats per minute (bpm) for both speciesMott ." cometer, which we can analyze later in Chap. 7. A small ball of diameter D and density p, falls through a tube of test liquid (p. µ). The fall velocity V is calculated by the time to fall a measured distance. The formula for calculating the viscosity of the fluid is discusses a simple falling-ball vis- (Po – p)gD² 18 V This result is limited by the requirement that the Reynolds number (pVD/u) be less than 1.0. Suppose a steel ball (SG = 7.87) of diameter 2.2 mm falls in SAE 25W oil (SG = 0.88) at 20°C. The measured fall velocity is 8.4 cm/s. (a) What is the viscosity of the oil, in kg/m-s? (b) Is the Reynolds num- ber small enough for a valid estimate?The drag of a sonar transducer is to be predicted, based on wind (Air) tunnel test data. The prototype is 1.5 m diameter sphere, is to be towed at 4.3 m/s in seawater. The model is 0.2 m diameter. Take: Air density = 1.2 kg/m, Air dynamic viscosity = 1.81 x 10$ Pa. s, seawater density = 1000 kg/m, seawater dynamic viscosity 1.813x 10 Pa s, If the drag of the model at these test conditions is 9.5 N, estimate the drag of the prototype in (N).
- Taylor number (Ta) is used here to describe the ratio between the inertia effect and the viscous effect. By applying Buckingham Pi's Theorem, determine an equation for Ta as a function of the radius of inner cylinder (r), cylinder tangential velocity (v), fluid dynamic viscosity (u), gap distance (L) and fluid density (p). Q4In the study of turbulent flow, turbulent viscous dissipation rate ? (rate of energy loss per unit mass) is known to be a function of length scale l and velocity scale u′ of the large-scale turbulent eddies. Using dimensional analysis (Buckingham pi and the method of repeating variables) and showing all of your work, generate an expression for ? as a function of l and u′.A football, meant to be thrown at 60 mi/h in sea-level air( ρ = 1.22 kg/m 3 , μ = 1.78 E-5 N ? s/m 2 ), is to be testedusing a one-quarter scale model in a water tunnel ( ρ =998 kg/m 3 , μ =0.0010 N . s/m 2 ). For dynamic similarity,what is the proper model water velocity?( a ) 7.5 mi/h, ( b ) 15.0 mi/h, ( c ) 15.6 mi/h,( d ) 16.5 mi/h, ( e ) 30 mi/h
- In fluid mechanics, which of the following are true: (a) Fluid mechanics is the branch of science concerned with stationary fluids (b) Fluids like water posses only potential energy (c) The field of fluid mechanics is infinite and endless (d) It is a branch of physics which concerns the study of liquids and the ways in which they interact with forces (e) It is a sience concerned with the response of fluids to forces exerted upon them, (f) the fluid which is in state of rest is called as static fluid and its study is called as statics.A small low-speed wind tunnel is designed to calibrate hot wires (anemometer wires) (Figure 2). The air temperature is 19 OC. The test section of the wind tunnel is 30 cm in diameter and 30 cm in height. The flow through the test section must be as uniform as possible. The speed range of the wind tunnel varies from 1 M/s to 8 M/S, and the design will be optimized with an airspeed of V= 4.0 M / s in the test section. For a flow state at a speed of 4.0 m/S, which is almost uniform at the entrance to the test section, how fast does the air velocity on the tunnel axis accelerate to the end of the test section?Note: kinematic viscosity of air at 19 C ν=1. 507x10-5 m2 / sQ1: Consider laminar flow over a flat plate. The boundary layer thickness o grows with distance x down the plate and is also a function of free-stream velocity U, fluid viscosity u, and fluid density p. Find the dimensionless parameters for this problem, being sure to rearrange if neessary to agree with the standard dimensionless groups in fluid mechanics. Answer: Q2: The power input P to a centrifugal pump is assumed to be a function of the volume flow Q, impeller diameter D, rotational rate 2, and the density p and viscosity u of the fluid. Rewrite these variables as a dimensionless relationship. Hint: Take 2, p, and D as repeating variables. P e paD? = f( Answer:
- An underwater device which is 2m long is to be moved at 4 m/sec. If a geometrically similar model 40 cm long is tested in a variable pressure wind tunnel at a speed of 60 m/sec with the following information, Poir at Standard atmospheric pressure = 1.18kg/m³ Pwater = 998kg/m3 Hair = 1.80 x 10-5 Pa-s at local atmospheric pressure and Hwater = 1 × 10-3 Pa-s then the pressure of the air in the model used times local atmospheric pressure isThe drag force (Fdrag) exerted by air on a moving car depends on a dimensionless drag coefficient (Carag), the specific volume of air (Vair), the velocity of the car (Var), and the frontal area of the car (Afront). (a) Based on unit considerations alone, obtain an equation for the drag force. Be sure to explicitly demonstrate that the final units are correct. (b) Explain, based on your equation, what happens to the drag force when each variable is changed in isolation. Indicate whether this predicted behaviour matches your intuition in each case.A 5 m of ship model is towed in the water of kinemetic viscosity 1x10^-6 m^2/s at 3.5 m/s. The wetted hull area is 1.4 m^2. What i_s the skin fric_tion drang