homework set 2 Copyright ©Wayne Hacker 2017, All rights reserved. Chapter 2: Fun

Question

homework set 2 Copyright ©Wayne Hacker 2017, All rights reserved. Chapter 2: Fundamental concepts Part 1: Basic-skills componen Fluid as a continuum Problem 1. (continuum hypothesis) Consider the statements given in (i) and (ii). Are the statements true or false? (i) Strictly speaking, no real material, be it a gas, a liquid, a solid, or even a plasma are a continuum because all real material is made up of discrete units matter. Do not concern yourself with wave-particle duality from quantum physics here! (ii) The continum assumption for a fuid means that if the fluid was cut in half and in half again d infinitum that the fluid's intensive properties, such as pressure and temperature, would be unaffected (invariant) Choose the correct answer from below (a) Statements (i) and (ii) are true (c) Both statements are false (b) (i) is tre ) is false (d) (i) is false; (ii) is true Velocity field Problem 2. Consider the statements given in (i) and (). Are the statements true or false? Assume we measure the dimension of the fields with respect to rectangula coordinates (0) The velocity field of the form Vi,y)ul, yti+ l, y) j is a two-directional vector field. (ii) The velocity field of the forrn laz, y t)-n(a, y, t) z, y, t)jis a two-dimensional vector field. Choose the correct answer from below (a) Statements (i) and (i) are true (c) Both statements are false (b) (i) is true; (i) is false (d) (i) is false; (ii) is true

Explanation / Answer

Both statements correct.Statement 2 describes the continnum approach. For statement 1 all materials have some porosity and can be treated as discrete but all materials follow the assumption of continnum above a threshold dimensions of the chosen volume which is called as characteristic mean free path of molecules,if the characteristic length is greater than mean free path then the system can be assumed to follow continnum.

2)statement 1 is false and statement 2 is correct.Term two directional is inappropriate because there can be many directions in 2-D flow also which is angle made by velocity vector with the reference.So it must be 2-Dimensional only.

Related Questions

Navigate

• Browse (All)
• Browse H
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.