Hydrodynamically balanced systems

Monolithic non-gas-generating systems are matrix tablets consisting of hydrocolloids that form an external gel layer when hydrated. The internal tablet core remains dry with an overall density lower than that of the gastric fluid. Hydroxypropylmethycellulose (HPMC) is the most commonly used hydrocolloid. This approach has been developed into marketed drug products as the Hydrodynamically Balanced System (HBS) invented by Sheth and Tossounian.93 Gastric retention and flotation times up to 6 hours were achieved. Valrelease (diazepam) and Madopar (levodopa and benserazide) were two marketed products developed using this approach. 

Sheth, P. R., and Tossounian, J. The hydrodynamically balanced system (HBSTM) A novel drug delivery system for oral use. Drug Dev. Ind. Pharm. 10 319-339, 1984. 

HBS Hydrodynamically balanced system. A CR oral dosage form (capsule or tablet), which is designed to prolong the residence time within the stomach. Increased time for dissolution, prolonged absorption phase, and improved pharmacokinetic profile. Madopar HBS or Prolopa HBS (L-dopa + Benserazide) Vahelease (diazepam). 

For steady-state design scenarios, the required vent rate, once determined, provides the capacity information needed to properly size the relief device and associated piping. For situations that are transient (e.g., two-phase venting of a runaway reactor), the required vent rate would require the simultaneous solution of the applicable material and energy balances on the equipment together with the in-vessel hydrodynamic model. Special cases yielding simplified solutions are given below. For clarity, nonreactive systems and reactive systems are presented separately. 

The particle and bulk densities are commonly used in mass balance equations, since the mass and the external volume of the particles are involved. On the other hand, the hydraulic density should be preferably used in hydrodynamic calculations, because buoyancy forces are involved, and so the total mass of the particle should be taken into account, including the fluid in the open pores. It is obvious that the particle density is equal to the skeletal and hydrodynamic density in the case of nonporous particles. Moreover, in the case of a porous solid in a gas-solid system, the gas density is much lower than the particle density, and tlius... 

Abstract Unsteady liquid flow and chemical reaction characterize hydrodynamic dispersion in soils and other porous materials and flow equations are complicated by the need to account for advection of the solute with the water, and competitive adsorption of solute components. Advection of the water and adsorbed species with the solid phase in swelling systems is an additional complication. Computers facilitate solution of these equations but it is often physically more revealing when we discriminate between flow of the solute with and relative to, the water and the flow of solution with and relative to, the solid phase. Spacelike coordinates that satisfy material balance of the water, or of the solid, achieve this separation. Advection terms are implicit in the space-like coordinate and the flow equations are focused on solute movement relative to the water and water relative to soil solid. This paper illustrates some of these issues. 

A first model is used to compute the flowrates allowing to perform the separation with the greatest productivity. Then, the "mixed cell in series" model takes into account thermodynamic, hydrodynamic and kinetic properties of the system and compute the concentration profile inside the columns [14], In this model, we make the assumptions that the pressure drop inside the column is negligible compared to the pressure drop realized and controlled with the analogical valves, and we model the true moving bed assuming that the performance of SMB and TMB are equivalent. A mass balance equation is written for each stage and a classical Newton Raphson numerical method is used to solve the permanent state of the process [14],... 

Equation (14.55) is known as the Clausius-Duhem or the fundamental inequality for a single-component system. The selection of the constitutive independent variables depends on the type of system considered. For example, the density, velocity, and temperature fields in hydrodynamics are customarily chosen. A process is then described by solving the balance equations with a consideration of constitutive relations and the Clausius-Duhem inequality. 

The six equations in F,(XXi = 1, 2,..., 6) just described in terms of force balance and continuity, are, however, not sufficient to determine the hydrodynamic state of a heterogeneous particle-fluid system, because with these, multiple solutions would result among which only one is valid to represent the stable state. An additional condition is needed to define this solution. 

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