A Mathematical Model for Fluxes Associated with Airflow over Northeast Region of India

An attempt has been made to study the horizontal momentum flux and vertical energy flux associated with baroclinic airflow over northeast region of India. The northeast region of India features two prominent orographic barriers: the Assam-Burma Hills (ABH) and the Khasi-Jaintia Hills (KJH). This paper presents a three-dimensional (3-D) model for mountain waves, applied to calculate momentum flux (MF) and energy flux (EF) associated with airflow over the Assam-Burma Hills (ABH) and Khasi-Jaintia Hills (KJH) in northeast India. We investigate the impact of the Assam-Burma Hills (ABH) and Khasi-Jaintia Hills (KJH) on momentum flux and energy flux associated with vertically propagating internal gravity waves, considering a realistic airflow with height-dependent wind and stability profiles. The model employs a comprehensive set of assumptions, including a three-dimensional (3D) laminar flow regime, inviscid fluid behavior, adiabatic conditions, and the Boussinesq approximation, all within the context of a non-rotating moist airflow environment. The simulation yields detailed results for the energy flux along the vertical z-axis, as well as the two horizontal components of momentum flux along the x-axis and y-axis. These results have been thoroughly evaluated and subsequently compared with the findings of earlier researchers in the field, facilitating a robust validation of the model's performance.