6-58C Consider stcady, laminar, twodimensional flow ower an isothermal plate. Does the thickness of the velocity boundary løer increase or decrease with (a) distance from the leading edge, (b) free-stream velocity. and (e) kinematic viscosity?
Added by Charles L.
Step 1
Step 1: For steady, laminar, two-dimensional flow over an isothermal flat plate, the Blasius boundary layer gives a thickness that scales as delta ~ 5 x / sqrt(Re_x), where Re_x = U x / nu. Show more…
Show all steps
Your feedback will help us improve your experience
Lien Le and 74 other Physics 101 Mechanics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
a. The velocity distribution of flow over a plate is parabolic with vortex 30 cm from the plate, where the velocity is 180 cm/s. If the viscosity of the fluid is 0.9 N s/m^2, find the velocity gradients and shear stresses at distances of 0.15 cm and 30 cm from the plate. b. Derive Hagen-Poiseuille equation and state the assumptions made.
Lien L.
1 a. The effect of transition from laminar to turbulent flow on local velocity boundary layer thickness, ̀(x) and local convection coefficient, h(x) for steady flow over an isothermal plate is illustrated in the following figure. Why does the convection coefficient decrease with x in the laminar region? How would the local heat flux change with x within the laminar region? How would it change in the turbulent region? 1 b. In the case of external flow convection what is the film temperature? Does it change with location in case of isothermal surfaces exposed to forced convection? 1 c. Under what conditions is the average convection heat transfer coefficient for internal flow in a pipe a constant (independent of the Reynolds and Prandtl numbers)?
Adi S.
The velocity distribution of a given laminar boundary layer is: u/U = 1 - e^(-k y/ͅ). ͅ is the boundary layer thickness. Derive: The value of k, ͅ*/ͅ and ̑/ͅ. 2. The velocity distribution of laminar boundary layer on a flat plate is: u/U = 2y/ͅ - (y/ͅ)^2. ͅ is the boundary layer thickness. Derive: displacement thickness ͅ* and momentum thickness ̑. 3. The air flows through a flat plate with the velocity of 30m/s. The temperature of air is 25°C. The length of the plate is 500mm. Derive: (1) The boundary layer thickness, displacement thickness and momentum thickness at the position of 200mm from the leading edge of the plate. (2) The friction coefficient of the plate.
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD