Applications: The interaction of nanoparticles and base solvents of different nature attained much interest of the researchers in the recent time. These use in medication, detection of cancer cells, applied thermal engineering, and electrical and mechanical engineering. Among the broad range of applications, investigation of nanofluid through converging/diverging channel is important which is of much interest in the field of medical sciences. Purpose and methodology: The core purpose of this study is to introduce a new heat transfer model for two natures of nanofluids with bi host solvents. The model in hand achieved through nanofluid expressions, similarity equations and induction of novel dissipation effects. At later stage, numerical treatment is performed to explore the actual behaviour of nanofluids inside the oblique walls which is very important. Core findings: From the drawn results, it is found that the motion could be controlled by expanding the channel walls ([Formula: see text]) and high Re and in Al2O3-H2O it is optimum. The nanofluids based on Al2O3 and C2H6O2 have much ability to transmit heat than the other nanofluids. Moreover, dissipation effects ([Formula: see text]) played significant role and boosted the temperature while keeping [Formula: see text] and [Formula: see text], respectively. Also, the study is validated and achieved good agreement between existing and the current study.