For the flow geometry from the top of a flat plate, the velocity profile around the plate is given as v (y) = ay+by^2-cy^3, and the temperature profile as T (y) = d+ey+fy^2-gy^3. Derive the mathematical expressions that give the regression coefficient and the heat transfer coefficient

For the flow geometry from the top of a flat plate, the velocity profile around the plate is given as v (y) = ay+by^2-cy^3, and the temperature profile as T (y) = d+ey+fy^2-gy^3. Derive the mathematical expressions that give the regression coefficient and the heat transfer coefficient

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter5: Analysis Of Convection Heat Transfer

Section: Chapter Questions

Problem 5.19P: 5.19 Suppose that the graph below shows measured values of for air in forced convection over a...

See similar textbooks

Related questions

Q: For turbulent flow modelling the Navier-Stokes equations and the k- ɛ equations are connected via…

Q: Corection the following number k=.02625,Kinematic viscosity(fancy v)=16.55*10^-6m^2/s,Pr=.7…

Q: Q.10. To predict the drag on an aircraft at a flight speed of 150 m/s, where the condition of air is…

A: To find: The flow velocity and the scale of the model. Given: The speed of light is up=150 msec. The…

Q: Figure 1 shows an orifice plate. The discharge coefficient and the density of the fluid are Cg and p…

Q: Example: Hydraulic conductance Estimate the hydraulic conductance of a filter cartridge that has a…

A: given data;⇒total…

Q: A cricket ball travels at 130 km/h through air at 20 degrees Celsius. The cricket ball has a…

Q: An experiment was conducted to determine the rheological properties of mango puree using a coaxial…

Q: At any time, approximately 20 volcanoes are actively erupting on the Earth, and 50–70 volcanoes…

A: This problem is related to fluid mechanics. Fluid mechanics is the subject of mechanical engineering…

Q: The following rheological data were collected on a new "Thick 'n Spicy" brand of tomato catsup at…

A: shear stress vs rate of shear is plotted which gives linear relation.

Q: psia and 500°F flows at 100 fps in a 4 inches pipe inside diameter. What is the surface coefficient…

Q: Under laminar condition, the pressure drop per unit length of a small-bore tube is a function only…

Q: G. In the Study of rheological poperbes ot a Choco la te product, the Viscosity CH.) of the product…

A: The relationship between shear stress and time has been provided. It is asked to find the linear…

Q: As shown in figure 3, water (kinematic viscosity of water v =10 m's) flows out of a reservoir into a…

Q: A small round object is tested in a 0.75-m diameter wind tunnel. The pressure is uniform across…

Q: A mixed berries cordial manufacturer changed to 5 m stainless steel tubing due to high amount of…

Q: A capillary tube is being used to measure the viscosity of a Newtonian liquid. The has a 20-mm…

Q: Taylor number (Ta) is used here to describe the ratio between the inertia effect and the viscous…

A: Solution: Taylor number depends upon (i) inner radius (r) (ii) cylinder tangential velocity (v)…

Q: 2. In a 0.32 cm diameter pipe, motor oil passes and is released into the atmosphere with a flow rate…

A: Given: To find: Pressure difference

Q: Suppose you found a dial thermometer in a stockroom. Discuss several methods by which you might…

A: Random error is linked to repeatability, which is the consistency with which an instrument indicates…

Q: Apply the necessary conversion factors to prove the relationship between dimensionless turbine…

Q: Recall that the transverse velocity for Poiseuille flow is Др -p² + C1 4µL In r + c2 , u(r) = 0 <r <…

A: Write the expression for the given velocity profile and apply the boundary conditions at the Cather.

Q: Consider the steady-state flow of an incompressible Newtonian fluid (viscosity µ, density p) through…

A: It is asked to find the Radius in terms of the horizontal dimensions and also the volumetric flow

Q: Part II. 1. Herschel-Buckley Equation An unknown non-newtonian fluid underwent theology analysis.…

A: Given: To determine: Fluid behavior index, consistency coefficient, Type of non Newtonian fluid.

Q: Calculate the pressure of an oil of sp.gr. 0.8, and a mercury of sp.gr. 13.6 in N/cm3. Take density…

Q: 7. Using the velocity distribution for a laminar, incompressible flow of a Newtonian fluid in a long…

A: Given, Fluid density = ρ = 300 kg/m3 Dynamic Viscosity = μ = 1 x 10-4 Pa-s Cross sectional area of…

Q: Given that: • Pipe diameter: 0.450 m Crude oil: Kinematic viscosity = 0.0000232 m2/s • Water:…

A: Given: d=0.45 m voil=0.0000232 m2/s μwater=9.2×10-4 N-Sm2…

Q: Problem 2: Professor Soma's 1/25,000h scale model measurement data showed that the maximum mixing…

A: Data given- Scale s = 1/25000 Maximum mixing length = 4 cm Maximum downward velocity = 1 m/s…

Q: In the gap between the two plates, the lubricant flows in one direction (x) by the pressure…

Q: A model submarine with a length of T = 6.0 m is to be tested in a laboratory wind tunnel using air.…

Q: unknown 30°C liquid (S.G. = 0.85) flows into a surface which creates a shear stress of 0.20 N/m2 and…

Q: You would like to measure wind speed with a cup anemometer on a sailboat trip across the Atlantic…

A: Given Anemometer To find Type of error Error reduction Is the device suitable for cabin air flow…

Q: The following data refer to a full hydrodynamic journal bearing. Radial load = 30 kN, Journal…

Q: n = Xe)r -Equation 1 vhere X = 1.7419 and (E/R) = -0.018 are constants for a given fluid. You are…

A: According to the given question, the velocity varies with temperature. But in actual practice, it…

Q: Taylor number (Ta) is used here to describe the ratio between the inertia effect and the viscous…

Q: As shown in Fig. 2, the hydraulic pump suctioned oil from a large oil tank, the flow rate q =…

A: Given Q=150l/min =150×10-3m3/minQ=0.0025m3/seckinematic viscosity…

Q: A capillary tube is being used to measure the viscosity of a Newtonian liquid. The has a 20-mm…

A: Radius of the tube, R= 20 mm= 0.02 m Length of the tube, L= 20 cm= 0.2 m Pressure, P= 2500 Pa= 2500…

Q: flow rate of water in a garden hose is measured using the bucket-andstopwatch method. Filling a 5-L…

Q: An incompressible fluid (kinematic viscosity, 7.4 x10-7 m²/s, specific gravity, 0.88) is held…

A: Given: The kinematic viscosity of fluid = 7.4x10-7 m2/s The specific gravity = 0.88 The speed of top…

Q: Liquid is pushed through the narrow gap formed between two glass plates. The distance between the…

Q: Estimation of void fraction of a packed column. A tube of 146 sq. in. cross section and 73 in.…

Q: Engine oil forced flow between two very large, stationary, parallel flat plates separated by a thin…

A: Let as assume a steady, incompressible and fully developed flow. The properties of oil at 60°C from…

Q: A ship 100 m long moves in fresh water at 15°C. Find the kinematic viscosity of a fluid…

A: Given Data Shaft length Ls= 100 m Model length Lm= 5m

Q: 1. A capillary tube is being used to measure the viscosity of a Newtonian liquid. The tube has a…

Q: 10, The approximate number of experiments to evaluate the influence of 5 parameters separately is- ,…

A: 1.. If stream lines are similar between model and prototype, it is called -Kinematic--- similarity.

Q: -A steel discharge pipe with a roughness equal to 0.5 mm is 800 m long and pumps 265 m³ of water per…

A: relative roughness = rounghness/diameter = 0.5/250 = 0.002 this will be useful for moody's diagram…

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

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 species
Torque T needed to rotate a disk in a liquid depends on the diameter D, the angular velocity w, the fluid density p and viscosity, and the distance from the wall x. Relate torque to the other variables using the MLT system. Justify reasons for the chosen repeating variables.
A well with 4 in. radius produces oil with a viscosity of0.3 cP, at a rate of 200 barrels/day, from a reservoir that is 15 ft.thick. The pressure in the wellbore as a function of time is: t (mins) 1 5 10 20 30 60 Pw(psi) 4740 4667 4633 4596 4573 4535 Use the "semi-log straight line" method to estimate the permeability, K
2. Experimental measurements of relationship between velocity gradient and shear stress for different liquids are shown in the table given below. a) Plot the data on Excel and determine the fluid types. (Show your graph!) b) Which model do you use to describe the data? Specify the ranges of values for the coefficients. Velocity gradient Shear stress Fluid A Fluid B Fluid C 0.2 2.60 7.80 61.55 0.5 5.80 17.40 63.67 0.95 10.51 31.53 66.45 1.4 14.52 43.56 69.30 1.9 21.02 56.75 72.89 2.45 28.22 64.91 77.60 3.05 31.50 69.30 80.38 3.7 38.91 71.98 84.50 4.35 45.21 76.86 88.81 5.05 51.71 80.15 93.78
Using II-Theorem method to Express (n) in terms of dimensionless groups.The efficiency (n) of a fan depends upon density (p), and dynamic viscosity (u), of the fluid, angular velocity (@), diameter of the rotator (D), and discharge (Q). Q3/ A petroleum crude oil having a kinematics viscosity 0.0001 m?/s is flowing through the piping arrangement shown in the below Figure,The total mass flow rate is equal 10 kg/s entering in pipe (A) . The flow divides to three pipes ( B, C, D). The steel pipes are schedule 40 pipe. note that the dynamic viscosity 0.088 kg/m.s. Calculate the following using SI units: 1- The type of flow in pipe (A). 2- The mass velocity in pipe (B) GB. 3- The velocity in pipe (D) Up. 4- The Volumetric flow rate in pipe (D) QD. 5- The Volumetric flow rate in pipe (C) Qc. Og = 2o mm Ug = 2UA Perolenm crude oIL A ma = 1o Kg/s O = 5o mm mic = ? Go = 7000 k9/m.s Nate that!- O, = 30 mm. D:0iameter. U:velocity G mass velocity mimass How vate
A dam spillway is to be tested using Froude scaling with a 1:20 model. The model flow has an average velocity of 0.7 m/s. What is the velocity of prototype?
The differential equation for small-amplitude vibrations y(r, f) of a simple beam is given by a*y + E = 0 ax pA where p = beam material density A = cross-sectional area I= area moment of inertia E = Young's modulus Use only the quantities p, E, and A to nondimensionalize y, x, and t, and rewrite the differential equation in dimensionless form. Do any parameters remain? Could they be removed by further manipulation of the variables?
The operating conditions found at two different points of a blade on a wind turbine are shown. These conditions were determined at a temperature for which the kinematic viscosity is 1.33 x 10-5m²/s. What are the Reynolds numbers found at each blade section? Wind velocity (m/s) Angle of attack (degrees) Location (r/R) Chord (m) 0.15 15 1.5 0.95 75 0.35 7.5
Saturated steam at 99.6 °C is heated to 350°C. Use the steam table provided to determine: a. The required heat input if 1 kg of steam undergoes the process in a variable-volume constant-pressure container. b. The work of expansion (in kJ) of the steam undergoing the process. C. The required heat input if a continuous stream flowing at 1 kg/s undergoes the process at constant pressure. d. Does your numeric answer to part c equal the sum of parts b and a? Explain why or why not. Given: 1 bar = 10 N/m4, Q= AH, Q = AU, AA = AÛ + PAV, table B.7 in kJ/kg and m/kg.
7. An oil (sp.gr 0.9) is flowing through a 1.2m diameter pipe at a rate of 2.5 m³/s. The kinematic viscosity of oil is 3 X106 m²/s. In order to model this flow, water is used to flow through a 120mm diameter pipe having kinematic viscosity of 0.012X104 m²/s. Find the model discharge and velocity.
The Reynolds number is a dimensionless group defined for a fluid flowing in a pipe as Re = Duplu where Dis pipe diameter, u is fluid velocity, p is fluid density, and u is fluid viscosity. When the value of the Reynolds number is less than about 2100, the flow is laminarthat is, the fluid flows in smooth streamlines. For Reynolds numbers above 2100, the flow is turbulent, characterized by a great deal of agitation. Liquid methyl ethylketone (MEK) flows through a pipe with an inner diameter of 2.067 inches at an average velocity of 0.48 ft/s. At the fluid temperature of 20°C the density of liquid MEK is 0.805 g/cm? and the viscosity is 0.43 centipoise [1 cP = 1.00 x 10-³ kg/(m-s)]. Without using a calculator, determine whether the flow is laminar or turbulent. Show your calculations.
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). Q4