Onsager-theory-based dynamic model for nematic phases of bent-core molecules and star molecules

•Derive molecular model that unambiguously differentiates molecular architecture.•Derive tensor model that keeps energy dissipation, which is not studied previously.•Delicate effect of molecular architecture on the flow modes is observed.•Novel flow modes are found, all the results are consistent with molecular symmetry.•The results from tensor model agree well with molecular model at lower shear rate.