Introduction to heat convectionSolved problemsHW-10-1- Determine the velocity distribution in the velocity boundary layer assuming second degree polynomial:u =C, +C,y+C,y?Answer: The boundary conditions are:du.. u = 0at y = 0; u = u, ;at y = 6;= 0at y = 8dy2yThis gives:يجب حفظ الشروط الحدية اذا كان الامتحان حضوري2- Determine the velocity distribution in the velocity boundary layer assuming third degree polynomial:u = C, +C,y+C,y' +C,y'Answer: The boundary conditions are:.. u = 0at y = 0= 0dy?at y = 0du= 0u = u,at y = 8at y = 8dy3 y 1yThis gives:28 28يجب حفظ الشروط الحدية اذا كان الامتحان حضوري3- Determine the velocity distribution in the velocity boundary layer assuming fourth degree polynomial:2u = a, +a, y+a,y +a,y' +a,yAnswer: The boundary conditions are:. u = 0= 0dy?at y = 0at y = 0du= 0dyd'uat y = 6 ;dy?u = u,at y = 6at y = 64.This gives:= 2يجب حفظ الشروط الحدية اذا كان الامتحان حضوري4- For flow over a slightly curved surface, the local shear stress is given by the relation:0.5T,(x) = 0.3ULSFrom this dimensional equation, obtain non-dimensional relations for the local and average frictioncoefficients.Answer::0.61.2ReRe

As per our guidelines, experts can provide solution to only one problem in case of multiple…

Answered: 1- Determine the velocity distribution…

Engineering

Mechanical Engineering

1- Determine the velocity distribution in the velocity boundary layer assuming second degree polynomial: u=C, +C,y+C,y²

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.

Chapter6: Forced Convection Over Exterior Surfaces

Section: Chapter Questions

Problem 6.20P

See similar textbooks

Similar questions

5.6 A fluid flows at 5 over a wide, flat plate 15 cm long. For each from the following list, calculate the Reynolds number at the downstream end of the plate. Indicate whether the flow at that point is laminar, transition, or turbulent. Assume all fluids are at 40°C. (a) air, (b) , (c) water, (d) engine oil.
In a particular engineering application involving airflow (u) over a surface (length in the direction of the flow is L), the temperature distribution of the airflow T(x, y) is measured and can be approximated by the following expression: Tf(x,y)-Ts 1- exp(-º 0.0332 Re2Pr¹/3 = y), where x is the coordinate from the leading edge of x Too-Ts the surface and parallel to the flow direction, while y is the coordinate perpendicular to the surface. Ts is the temperature of the surface and Too is the temperature of the moving fluid, and both are constants. Rex is the Reynolds number with the characteristic length of.x, and Pr is the Prandtl number. Assume uniform properties in the fluid field (thermal conductivity ks, kinemati viscosity vs, etc.). (a) Based on the expression given above, derive the derivative of the fluid temperature (the slope) with respective to y, then find the derivative at the surface (x, y=0), i.e., ду TI at y=0 (b) Based on the derivation of (a), write the expression of…
9 of the diffusion Term of The The Expression below is part Nallier-Stokes equation in spherical coordinates. what are units of this term I given it is dynamic viscosity [Pa-s] T A partial derivative behave the same as a full devevarive. 2 дио r² sin(0) do unit ? Expression: anshuar: T ris position, is velosity: A does not have dimension Mf-
2.0 m 7: 10.0 m = 2²-²² Us B 10.0 m Figure Q1-2 Question 2 Air flow at a constant speed (Us = 10 m/s) is forming a two-dimensional incompressible laminar boundary layer along a flat plate The velocity profile inside the boundary layer is given by: 2.0 m (Equation 1) At x = 1.00 m, the boundary layer thickness is given as 6.6094 mm. At this location: a) Determine the shear stress at the wall, at y = 3 mm and y = 10 mm. b) Calculate the boundary layer displacement thickness. c) Calculate the mass flow rate through the boundary layer per unit width. d) Calculate the mass flow rate per unit width of an ideal flow going through the same height as the boundary layer thickness. e) Through calculation relate the difference between the mass flow rates in parts (c) and (d) to the local boundary layer displacement thickness. In not more than 60 word justify your answer. Use sketch(s) to illustrate your justification. f) Does the assumed velocity profile satisfy the pressure boundary condition? In…
1. In the figure shown below, choose whether the statement is true or false (Please justify your answer) (a) At a give x-location, if Re were to increase, the boundary layer thickness would decrease. (b) As upstream velocity decreases, so does the boundary layer thickness (c) As the kinematic viscosity increases, so does the boundary layer thickness (d) As the fluid density decreases, so does the boundary layer thickness (e) As the x-location increases, so does the boundary layer thickness
* ZAIN IQ liı. SuspendEA IN A ROom, Ana TS Subjected To Air Flow Parallel To I... A 2m by 3m flat plate is suspended in a room, and is subjected to air flow parallel to its surfaces along its 3m long side as shown in the figure. The free stream air temperature, T, is 20°C and the velocity is 7 m/s. The total drag force acting on the plate is measured to be 0.86 N. Determine the average convection heat transfer coefficient for the plate. Air 20°C, 7 m/s L= 3 m. This problem has been solved! See the answer
-5 2 Air stream k = 0.02439 W/m.K, v 1.426 x10 m /s, Pr = 0.7336) flows over a flat surface [L= 4.5 m, w = 2.5 m] with velocity of 97 km/hr, flow is parallel to L, What is the amount of heat transfer "kW" when the temperature difference is 84 °C?
A fluid (Prandtl number, Pr = 1) at 500 K flows over a flat plate of 1.5 m length, maintained at 300 K. The velocity of the fluid is 10 m/s. Assuming kinetic viscosity, v = 30 x 10-6 m²/s, the thermal boundary layer thickness (in mm) at 0.5 m from the leading edge is (up to three decimal)?
An air whose cross-sections are visible in the figure on the side Channel 40 cm diameter and 60 cm tall test section references The air temperature is 200oC. At the entrance of the Test section A uniform airspeed of 2 m/s was measured.a) the number of Reynolds at the end of the test section (Rex)calculate.b) limit layer thickness at the end of the test sectioncalculate.c) air velocity test on centerlinewhat percentage increases by the end of the section,calculate.d) local surface friction at the end of the test sectioncalculate the coefficient. v = 1,516 . 10-5 m2/s.
(b) In two dimensional boundary layer, shear stress was changed linearly from the solid surface toward y-axis until it reach the value of zero at y = ở. Based on Table 2 and setting given to you; (i) Derive the equation of displacement thickness and momentum thickness using Von Karman Approximation Method ; and (ii) Determine the accuracy of this method in determining the value of displacement thickness and momentum thickness. C5 Table 2: Equation of Velocity Profile Setting Equation wU = 2y/8 - (y/S² 1
:Write the correspond boundary conditions for the below one-dimensional configurations I, Io
(k-1.33) flows inside a goo conseigat/dhiyeget An ideal wher noz2le under certaiu circumstauces " the cross-sedtiou of the noz2le is 2s cu?, Mace nuuber is 2.4. What is the cross-seetion where Mach uuuber = 3.5 - 3. %3D - /1