Eulerian derivation of the conservation equation for energy in a non-inertial frame of reference in arbitrary motion
作者：
Highlights：
• Arbitrary motion considered here as unsteady combined translation and rotation.
• Eulerian method to transform vectors and scalars to non-inertial frame is presented.
• Total energy equation is transformed from inertial frame to non-inertial frame.
• Five fictitious work terms dependent on the type of motion are obtained.
• Seven types of motion are considered to determine fictitious work terms to include.
摘要
•Arbitrary motion considered here as unsteady combined translation and rotation.•Eulerian method to transform vectors and scalars to non-inertial frame is presented.•Total energy equation is transformed from inertial frame to non-inertial frame.•Five fictitious work terms dependent on the type of motion are obtained.•Seven types of motion are considered to determine fictitious work terms to include.
论文关键词：Accelerating flow,Non-inertial frame,Navier–Stokes,Fictitious acceleration,Fictitious work
论文评审过程：Received 26 September 2020, Revised 5 January 2021, Accepted 17 January 2021, Available online 13 February 2021, Version of Record 13 February 2021.
论文官网地址：https://doi.org/10.1016/j.amc.2021.126002
