Work

Stagnation flow and Heat Transfer Under Partially-Developed Free-surface Jets

Year: 2025

Type: article

Abstract: Although laminar jet impingement is commonly used in transport processes, it’s not fully understood. It is known that stagnation-point heat transfer (Nu 0 ) depends on the near-axis radial acceleration ( A 0 ), which is dictated by the velocity-profile arriving at the wall. This profile varies with: nozzle length ( L ), nozzle-to-plate spacing ( H ), flow rate (Re), gravity (Fr), surface tension (We) and even dissipation (at low-Re). Other stagnation zone flow-aspects also depend on A 0 , such as the wall approach and boundary layer thickness. Therefore, a new general expression is developed for A 0 , which is key to predicting the stagnation flow and heat transfer. Previous ( submerged ) impingement analysis captured A 0 through the jet’s core, while for free-surface jets it is derived from the jet’s characteristic curvature. This curvature is obtained from global characteristics: centerline velocity and jet width; thereby circumventing the need for prediction of the full arriving profile. Following the analysis, an explicit, universal, prediction for Nu 0 is found in terms of nominal geometry and flow rate. It is then validated against past and present simulations, even under high surface tension and high viscosity conditions, for both horizontal and vertical jets. Resulting in a wide range of parameters (0.002≤ L , 0.001≤ H , 225≤Re≤2,000, N j =Re/Fr<200, 3

Source: International Journal of Heat and Mass Transfer

DOI: 10.1016/j.ijheatmasstransfer.2025.127347

Authors: Ron S. Harnik, Herman D. Haustein

Institution: Tel Aviv University

Language: English

Topic: Heat Transfer Mechanisms

Subfield: Mechanical Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,220

Funder: PAZY Foundation