By G. Hauke

ISBN-10: 1402085362

ISBN-13: 9781402085369

ISBN-10: 1402085370

ISBN-13: 9781402085376

This booklet offers the principles of fluid mechanics and shipping phenomena in a concise means. it really is appropriate as an advent to the topic because it comprises many examples, proposed difficulties and a bankruptcy for self-evaluation.

**Read or Download An Introduction to Fluid Mechanics and Transport Phenomena PDF**

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**Extra info for An Introduction to Fluid Mechanics and Transport Phenomena**

**Sample text**

3. If the ﬂow is stationary, then streamlines, trajectories and streaklines coincide. Below, it is explained how streamlines, trajectories and streaklines are calculated. As an example, we will take the unsteady (non-stationary) twodimensional ﬂow ﬁeld given by u = 2x(t + 1) and v = 2y(t − 1). v v dl v Fig. 10. Streamline and diﬀerential of length. 1 Calculation of Streamlines Let dl be a diﬀerential of length along a streamline. 4. In polar coordinates, the inﬁnitesimal lengths along the r and θ axes are dr and rdθ, respectively.

As boundary condition we will need the position of a particle at a given time. Then, the variable time t can be eliminated to reach the equation of the trajectory in explicit or implicit form. 9 (Trajectory). For the ﬂow ﬁeld of the above example, determine the trajectory of the ﬂuid particle that passes through the point (x0 , y0 ), at t = 0. Solution. 4 Streamlines, Trajectories and Streaklines 25 which implies C1 = x0 /e C2 = y0 /e Finally, the trajectory is given in parametric form through the combination of 2 x = e(t+1) −1 x0 y y0 = e(t−1) 2 −1 This is a valid curve in two dimensions.

3. If the ﬂow is stationary, then streamlines, trajectories and streaklines coincide. Below, it is explained how streamlines, trajectories and streaklines are calculated. As an example, we will take the unsteady (non-stationary) twodimensional ﬂow ﬁeld given by u = 2x(t + 1) and v = 2y(t − 1). v v dl v Fig. 10. Streamline and diﬀerential of length. 1 Calculation of Streamlines Let dl be a diﬀerential of length along a streamline. 4. In polar coordinates, the inﬁnitesimal lengths along the r and θ axes are dr and rdθ, respectively.

### An Introduction to Fluid Mechanics and Transport Phenomena by G. Hauke

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