By G. Hauke
This publication offers the rules of fluid mechanics and delivery phenomena in a concise method. it's appropriate as an creation to the topic because it includes many examples, proposed difficulties and a bankruptcy for self-evaluation.
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Additional info for An Introduction to Fluid Mechanics and Transport Phenomena
13 (Heat ﬂux across a surface). The heat ﬂow or heat ﬂux across a surface can be calculated by setting Φ = q, where q is the vector of heat per unit surface per unit time [W/m2 ]. 1. Examples of ﬂuxes across a surface S. 1 Given the Eulerian ﬂuid ﬁeld v(x, y, z, t) = 3ti + xzj + ty 2 k where i, j and k are the unit vectors along the coordinate axis, determine the ﬂow acceleration. 2 A ﬂuid ﬁeld is described by u= y x ; v= ; w=0 1+t 1 + 2t where t represents time. Calculate the streamlines and trajectories that pass by x0 , y0 at t = 0 and the streakline that passes by x0 , y0 ∀t.
In the case of a liquid/gas interface, the surface tension tends to maintain the interface (or free surface) straight. An important situation appears when three substances meet forming three interfaces, for instance, at a wall/liquid/gas interface. In this case, the line, which is the intersection of the three interfaces, is called the contact line. The angle that two interfaces form at the contact line is called the contact angle and depends on the surface tension of all interfaces. Therefore, the contact angle depends solely on the three substances and the temperature.
This is one of the salient features of transport phenomena in ﬂuids. And since the ﬂuid motion is impelled by the forces applied to the ﬂuid, these ﬂuid forces are of paramount importance in determination of the mentioned processes. Therefore, this chapter introduces the main forces that for engineering purposes act upon a ﬂuid, namely, body forces, surface forces and surface tension. The concept of static pressure is also explained. 1 Introduction Eventually, we are interested in describing transport phenomena in moving ﬂuids.
An Introduction to Fluid Mechanics and Transport Phenomena by G. Hauke