Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
516 views
in General by (115k points)
closed by
Consider the laminar flow of water over a flat plate of length 1 m. If the boundary layer thickness at a distance of 0.25 m from the leading edge of the plate is 8 mm, the boundary layer thickness (in mm), at a distance of 0.75 m, is _______

1 Answer

0 votes
by (152k points)
selected by
 
Best answer

Explanation:

For laminar flow over a flat plate

Blausius equation is:

\(\begin{array}{l} \frac{\delta }{x} = \frac{5}{{{{\left( {{R_{{e_x}}}} \right)}^{\frac{1}{2}}}}}\\ \Rightarrow \frac{\delta }{x} = \frac{5}{{{{\left( {\frac{{\rho Vx}}{\mu }} \right)}^{\frac{1}{2}}}}} \end{array}\)

\(\Rightarrow \frac{\delta }{x} = \frac{{constant}}{{\sqrt x }}\) {∴ δ, v & μ are constant}

\(\begin{array}{l} \Rightarrow \frac{\delta }{{\sqrt x }} = constant\\ \Rightarrow \frac{{{\delta _1}}}{{\sqrt {{x_1}} }} = \frac{{{\delta _2}}}{{\sqrt {{x_2}} }}\\ \Rightarrow {\delta _2} = \sqrt {\frac{{{x_2}}}{{{x_1}}}} {\delta _1}\\ \Rightarrow {\delta _2} = \sqrt {\frac{{0.75}}{{0.25}}} \times 8 \end{array}\)

⇒ δ2 = 13.86 mm

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...