Heat transfer with electroosmotic flow from a stretching sheet: Factorial plot analysis using a response surface methodology (RSM) approach

Prakash, J; Tripathi, Dharmendra; Bég, O Anwar; Kuharat, S

Abstract

Motivated by novel developments in electro-osmotic coatings, a theoretical and numerical investigation is conducted to evaluate the effects of zeta potential on the electroosmotic flow of a viscous ionic fluid along a stretching surface. The governing equations for the boundary layer regime are derived by applying the principles of mass, momentum, and energy conservation. These equations are then simplified into a nonlinear system of interconnected ordinary differential equations, with prescribed boundary conditions at the wall and in the free stream. This simplification is achieved using appropriate scaling similarity transformations which produce a number of important dimensionless control parameters. The computational solution to the nonlinear coupled boundary value issue is obtained using the bvp4c numerical tool in MATLAB. Validation with previous studies is included. Additionally, the numerical solutions of the corresponding profiles are examined using the Response Surface Methodology and Factorial Plots. Response Surface Methodology (RSM) provides an excellent method for conducting a sensitivity analysis on the flow regime to evaluate how the zeta potential, electroosmosis parameter, electric field parameter, and Prandtl number can be optimized in influencing the velocity, temperature, skin friction coefficient and Nusselt number. The electric field parameter has a substantial influence on the axial velocity and skin friction coefficient, whereas the Prandtl number exerts a larger influence on temperature and the Nusselt number, when compared to other parameters.

Citation

Prakash, J., Tripathi, D., Bég, O. A., & Kuharat, S. (in press). Heat transfer with electroosmotic flow from a stretching sheet: Factorial plot analysis using a response surface methodology (RSM) approach. Numerical Heat Transfer, Part B Fundamentals,

• Journal Article Type: Article
• Acceptance Date: Aug 31, 2024
• Deposit Date: Aug 31, 2024
• Print ISSN: 1040-7790
• Electronic ISSN: 1521-0626
• Publisher: Taylor and Francis
• Peer Reviewed: Peer Reviewed
• Keywords: Factorial plot; Response surface methodology (RSM); electroosmosis; zeta potential; stretching sheet; heat transfer; coating flows 2