Let V (x, y) = x + x x2 + y2 . The vector field F = ?V (
Question and Solution
Let V (x, y) = x + x x2 + y2 . The vector field F = ?V (Figure 5) provides a model in the plane of the velocity field of
70 % (633 Review)
Let V (x, y) = x + x x2 + y2 . The vector field F = ?V (Figure 5) provides a model in the plane of the velocity field of an incompressible, irrotational fluid flowing past a cylindrical obstacle (in this case, the obstacle is the unit circle x2 + y2 = 1). (a) Verify that F is irrotational [by definition, F is irrotational if curl(F) = 0]. x y 1 3 2 1 ?3 ?2 ?1 ?1 ?2 ?3 2 3 FIGURE 5 The vector field ?V for V (x, y) = x + x x2 + y2 . (b) Verify that F is tangent to the unit circle at each point along the unit circle except (1, 0) and (?1, 0) (where F = 0). (c) What is the circulation of F around the unit circle? (d) Calculate the line integral of F along the upper and lower halves of the unit circle separately
Your answer will be ready within 2-4 hrs. Meanwhile, check out other millions of Q&As and Solutions Manual we have in our catalog.
Get immediate access to 24/7 Homework Help, step-by-step solutions, instant homework answer to over 40 million Textbook solution and Q/A
Pay $7.00/month for Better Grades
Crazy for Study is a platform for the provision of academic help. It functions with the help of a team of ingenious subject matter experts and academic writers who provide textbook solutions to all your course-specific textbook problems, provide help with your assignments and solve all your academic queries in the minimum possible time.
Disclaimer: Crazy For Study provides academic assistance to students so that they can complete their college assignments and projects on time. We strictly do not deliver the reference papers. This is just to make you understand and used for the analysis and reference purposes only.