Instability analysis for transient Hartmann flow of graphene oxide nanoparticles with water base fluid

Based on exclusive thermal dynamic of nanomaterials, various applications are noted in engineering and industrial processes. Owing to such thermal impact, the researchers have presented comprehensive research on nanomaterials. While claiming novel applications of nanofluids, the stability of nanomaterials is important for which less attention has been paid. On this end, the aim of current research is to predict the thermal instability of graphene nanoparticles with suspension of water base fluid due to transient Hartmann flow. The Poiseuille flow of water-based nanoparticles subject to the magnetic force is assumed between two plates. The numerical outcomes are predicted with implementation of Chebyshev collocation technique. We acquire an adjusted type of generalized equation and afterward utilize QZ (Qualitat and Zuverlassigkeit) method to acquire neutral curves. To develop eigenvalue problem by solving the stability equation is used QZ (Qualitat and Zuverlassigkeit) algorithm. It is noted that presence of magnetic field stabilized the flow for specified range of Reynolds number. The growth rate improved with growing values of Reynolds number.