A study on heat transfer in three‐dimensional nonlinear convective boundary layer flow of nanomaterial considering the aggregation of nanoparticles. Issue 1 (28th September 2021)

• Record Type: Journal Article
• Authors: Mahanthesh, B.; Srikantha, N.; Mackolil, Joby
• Is Part Of: Heat transfer. Volume 51:Issue 1(2022)
• Page Start: 891
• Page End: 908
• Publication Date: 2021-09-28
• Subjects: boundary layer flow -- nanoliquid -- nanoparticle aggregation -- quadratic Boussinesq approximation -- quadratic thermal radiation -- Richardson extrapolation method; Heat -- Transmission -- Periodicals; Heat -- Transmission; Periodicals; 621.4022
• DOI: 10.1002/htj.22334
• Languages: English
• ISSNs: 2688-4534

Abstract

Abstract: Thermal systems of solar collectors, electronic cooling, nuclear reactors, and combustion operate at high thermal conditions, and in such circumstances, the density relation of the working fluids with the thermal field may not be linear. The working fluid features are significantly affected by nonlinear density temperature fluctuations. Therefore, a theoretical study of the quadratic Boussinesq approximation (with quadratic density temperature [QDT] variation) and quadratic Rosseland radiation on the three‐dimensional boundary layer dynamics and heat transport of ethylene glycol‐based titania nanomaterial is carried out. The phenomenon of the kinematics of nanoparticle aggregation is also analyzed by considering modified models proposed by Maxwell–Bruggeman and Krieger–Dougherty for thermal conductivity and dynamic viscosity. The flow is induced by the elongation of a flexible flat plate in two directions. A comparison of heat transfer features of linear elongation of the plate and nonlinear elongation of the plate is conducted. The Rosseland radiative heat flux is studied in three different forms. The governing nonlinear equations are treated using apt nondimensionalization, stretching transformation, and then by using the Richardson extrapolation method. The results are presented via plots to analyze the impact of key parameters involved in the model. The magnitude of the nanomaterial temperature is enhanced due to the kinematics of nanoparticle aggregation. Among linear, quadratic, and nonlinear forms of Rosseland radiative heat flux, the quadratic radiative heat is more suitable when QDT is considered. A positive relationship is found between heat transfer and volume fraction and a positive relationship is observed between heat transfer and the QDT factor. The magnitude of the velocities and thermal field is higher for flow driven due to the linear elongation of the plate than the nonlinear case.