If a vertical wall at temperature T, is surrounded by a fluidat temperature T, a natural convection boundary layer flowwill form. For laminar flow, the momentum equation isauди.p(u-+ v) = PB(T – T)g + µ-диayto be solved, along with continuity and energy, for (u, v, T)with appropriate boundary conditions. The quantity B isthe thermal expansion coefficient of the fluid. Use p, g, L,and (Tw- To) to nondimensionalize this equation. Note thatthere is no “stream" velocity in this type of flow.

Velocity scale , length scale, and temperature scale are written by using the variables density…

Answered: If a vertical wall at temperature T, is…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

For axial flow through a circular tube, the Reynolds numberfor the transition to turbulence is approximately 2300 based on the diameter and average velocity. Ifd= 5 cm and the fl uid is kerosene at 20 ° C, fi nd the volumeflow rate in m 3 /h that causes transition.
(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
The velocity profile for laminar flow between two plates, as in Fig.3, is 2umaxy(h-y) h4 u= If the wall temperature is Tw at both walls, use the incompressible flow energy equation to solve for the temperature distribution T (y) between the walls for steady flow. Energy equation: dT pcp dt y=h y=0 •= kV²T +4 u(y) v=W=0 Tw T(y) Fig.3. Fluid flow between two walls
Consider liquid in a cylindrical tank. Both the tank and the liquid rotate as a rigid body. The free surface of the liquid is exposed to room air. Surface tension effects are negligible. Present the boundary conditions required to solve this problem. Specifically, what are the velocity boundary conditions in terms of cylindrical coordinates (r, 0, z) and velocity components (ur, uo, U:) at all surfaces, including the tank walls and the free surface? What pressure boundary conditions are appropriate for this flow field? Explain. Free surface Ps Paa Liquid
Boundary conditions is a statement about the velocity or stress at the boundaries of the system. Boundary conditions used in momentum transport for fluid-solid, liquid-liquid and liquid-gas interfaces. Explain an assumption to build this boundary condition Reference:
(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 = 6. Based on Table 2 and setting given to you; () 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. Table 2 : Equation of Velocity Profile Setting Equation wU = 3(y/8)/2 – (y/8j?/2
Fluid from a large reservoir at temperature T 0 fl ows into acircular pipe of radius R . The pipe walls are wound with anelectric resistance coil that delivers heat to the fl uid at a rateq w (energy per unit wall area). If we wish to analyze thisproblem by using the full continuity, Navier-Stokes, andenergy equations, what are the proper boundary conditionsfor the analysis?
What are the physical and quantitative evidence of turbulence in fluid flow?
2. Consider the boundary-layer momentum equation for steady incompressible flow in two dimen- sions: ди dpe ду du du + po ay dx Assume the viscosity, u, to be constant. What does this equation simplifies to at a stationary solid surface? Based on this result, is a boundary layer more likely to separate in a favourable gradient (pressure decreasing) or an adverse pressure gradient? Sketch the velocity profile of a boundary layer that is attached and one that is separated. pressure
(2) Referring to the following figure, the distance between plates is Ay = 0.5 cm, Av, 10 cm/s, and the fluid is ethanol at 273 K having a viscosity of 1.77cp (0.0177 g/cm s). dv:| ay (a) Calculate the shear stress Tyz and the velocity gradient of shear rate using cgs units. (b) (c) Repeat using SI units. Ay F, force Fluid shear between two parallel plates.
Steam and water flow in a 25 mm tube at 300 C, 3500 kg/m2 s, and X = 0.4. Use the drift flux model and find α and S. [Ans. 0.68 and 4.7]
-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?

SEE MORE QUESTIONS

Recommended textbooks for you

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Control Systems Engineering

Mechanical Engineering

ISBN:

9781118170519

Author:

Norman S. Nise

Publisher:

WILEY

Mechanics of Materials (MindTap Course List)

Mechanical Engineering

ISBN:

9781337093347

Author:

Barry J. Goodno, James M. Gere

Publisher:

Cengage Learning

Engineering Mechanics: Statics

Mechanical Engineering

ISBN:

9781118807330

Author:

James L. Meriam, L. G. Kraige, J. N. Bolton

Publisher:

WILEY

SEE MORE TEXTBOOKS