Optimal Control of Thermally Convected Fluid Flows
نویسندگان
چکیده
We examine the optimal control of stationary thermally convected uid ows from the theoretical and numerical point of view. We use thermal convection as control mechanism, that is, control is eeected through the temperature on part of the boundary. Control problems are formulated as constrained minimization problem. Existence of optimal control is given and a rst order necessary conditions of opti-mality from which optimal solutions can be obtained is established. We develop numerical methods to solve the necessary conditions of optimality and present computational results for control of cavity and channel type ows showing the feasibility of the proposed approach.
منابع مشابه
Optimal Design Methodology for Dividing Wall Columns
The dividing wall column, DWC, is a thermally coupled sequence that can perform the separation of fluid mixtures with reduced energy consumption, but also decreasing the capital costs associated. Several authors have developed design procedures for this kind of sequence, using short methodologies or optimization strategies. The use of short procedures is easy and fast, but, in the most of the c...
متن کاملIntroduction to Complex Fluids
In this chapter we introduce the fundamental concepts in Newtonian and complex fluid mechanics, beginning with the basic underlying assumptions in continuum mechanical modeling. The equations of mass and momentum conservation are derived, and the Cauchy stress tensor makes its first of many appearances. The Navier–Stokes equations are derived, along with their inertialess limit, the Stokes equa...
متن کاملWhat Rayleigh-Bénard, Taylor-Couette and Pipe Flows have in Common
The very close correspondence between the three types of thermally or shear driven fluid flows is elucidated. Expressions for the relevant currents of temperature, angular momentum, and axial velocity by transverse convective flow in the profile direction are derived from the Navier-Stokes equations. Also the dissipation rates of the advective flows are calculated. Exact relations between the r...
متن کاملUpslope Flows in Atmosphere and Water Tank, Part II: Fluid-Dynamical Smoothness as a Possible Cause for Velocity Similarity Violation
Water-tank models of meso-scale atmospheric processes often show good qualitative agreement of bulk quantities and flow characteristics and good quantitative agreement of turbulence quantities with field observations. However, it was demonstrated in the first part of this two-part communication that the similarity of velocities of thermally driven upslope flows in atmosphere and water tank is v...
متن کاملTime dependent finite element analysis of the linear stability of viscoelastic flows with interfaces
In this paper we present a new time marching scheme for the time dependent simulation of viscoelastic flows governed by constitutive equations of differential form. Based on the ideas of Carvalho and Scriven [J. Comput. Phys. 151 (1999) 534], a domain perturbation technique is introduced that can be applied to viscoelastic flows with fluid/fluid interfaces or free surfaces. This work mainly foc...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- SIAM J. Scientific Computing
دوره 19 شماره
صفحات -
تاریخ انتشار 1998