We investigate the existence and multiplicity of steady states of the equation 39 d^O ~dt ~ + ~ + 01^ = 0 < 21 < 1' with Dirichlet boundary conditions and initial conditions. This equation was derived and studied by Joly, Kernevez, and Llory [7] and Joly [8] in studying thermal effects from pool boiling, in which wires are heated by the Joule effect and are cooled in a bath of boiling water at ...

We study the linear stability of bubbles in a capillary tube under external flow. Yu et al. ( J. Fluid Mech. , vol. 911, 2021, pp. 1–19) showed that rich variety bubble dynamics occurs when downward flow is applied, opposing buoyancy-driven ascent bubble. They found experimentally and numerically existence two branches solutions overlap over finite range number cases where Reynolds small Bond l...

the understanding of the dynamic behavior of distillation columns has received considerable attention because distillation is one of the most widely used unit operations in chemical process industries. this paper reports a dynamic simulation study of the possible distillation columns sequences of dew pointing unit in the second phase of south pars gas refinery. in this unit, three columns are u...

This paper analyzes renewal input state dependent queue with $N$- policy wherein the server takes exactly one vacation. Using the supplementary variable technique and recursive method, we derive the steady state system length distributions at various epochs. Various performance measures has been presented. Finally, some numerical  computations in the form of graphs are presented to show the par...

Reactive Distillation (RD) is the combination of reaction and distillation in a single vessel (Backhaus, 1921). Over the past two decades, it has emerged as a promising alternative to conventional “reaction followed by separation” processes (Towler & Frey, 2002). The technology is attractive when the reactant-product component relative volatilities allow recycle of reactants into the reactive z...

The relative sliding motion of two elastic bodies in contact induces wear process and contact shape evolution. The transient process tends to a steady state occuring at fixed contact stress and strain distribution. This state corresponds to the minimum of the wear dissipation power. The optimality conditions of the functional provide the contact stress distribution and the wear rate compatible ...

We consider the elliptic problem −Δu+ u= b(x)|u|p−2u+ h(x) in Ω, u∈H1 0 (Ω), where 2 < p < (2N/(N − 2)) (N ≥ 3), 2 < p <∞ (N = 2), Ω is a smooth unbounded domain in RN , b(x) ∈ C(Ω), and h(x) ∈ H−1(Ω). We use the shape of domain Ω to prove that the above elliptic problem has a ground-state solution if the coefficient b(x) satisfies b(x)→ b∞ > 0 as |x| →∞ and b(x)≥ c for some suitable constants ...

The cross-stream migration of a deformable drop in two-dimensional Poiseuille flow at finite Reynolds numbers is studied numerically. In the limit of a small Reynolds number (<1), the motion of the drop depends strongly on the ratio of the viscosity of the drop fluid to the viscosity of the suspending fluid. For a viscosity ratio 0.125, the drop moves toward the centre of the channe while for t...

This paper deals with a lumped-parameter dynamic simulation of a single-effect LiBr-H2O absorption chiller. In many studies the thermodynamic properties of LiBr-H2O solution were taken from some approximate relations causing the results to be somewhat inaccurate. These relations were used to solve simultaneous differential equations involving the continuity of species constituting the LiBr-H2O ...