Citation: Khan, A.; Jamshed, W.; Eid, M.R.; Pasha, A.A.; Tag El Din, E.S.M.; Khalifa, H.A.E.-W.; Alharbi, S.K. Unsteady Electro-Hydrodynamic Stagnating Point Flow of Hybridized Nanofluid via a Convectively Heated Enlarging (Dwindling) Surface with Velocity Slippage and Heat Generation. Symmetry 2022, 14, 2136. https://doi.org/10.3390/sym14102136 Academic Editors: Sergei D. Odintsov and Ghulam Rasool Received: 9 September 2022 Accepted: 10 October 2022 Published: 13 October 2022 Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affil- iations. Copyright: © 2022 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https:// creativecommons.org/licenses/by/ 4.0/). symmetry S S Article Unsteady Electro-Hydrodynamic Stagnating Point Flow of Hybridized Nanofluid via a Convectively Heated Enlarging (Dwindling) Surface with Velocity Slippage and Heat Generation Abbas Khan 1 , Wasim Jamshed 2, * , Mohamed R. Eid 3,4 , Amjad Ali Pasha 5 , El Sayed M. Tag El Din 6 , Hamiden Abd El-Wahed Khalifa 7,8 and Samaher Khalaf Alharbi 9 1 Department of Mathematics, University of Haripur, Haripur 22620, Pakistan 2 Department of Mathematics, Capital University of Science and Technology (CUST), Islamabad 44000, Pakistan 3 Department of Mathematics, Faculty of Science, New Valley University, Al-Kharga 72511, Egypt 4 Department of Mathematics, Faculty of Science, Northern Border University, Arar 1321, Saudi Arabia 5 Aerospace Engineering Department, King Abdulaziz University, Jeddah 21589, Saudi Arabia 6 Electrical Engineering, Faculty of Engineering and Technology, Future University in Egypt, New Cairo 11835, Egypt 7 Department of Operations Research, Faculty of Graduate Studies for Statistical Research, Cairo University, Giza 13613, Egypt 8 Department of Mathematics, College of Science and Arts, Qassim University, Al-Badaya 51951, Saudi Arabia 9 Department of Mathematics, College of Science and Arts, Qassim University, Ar Rass 51921, Saudi Arabia * Correspondence: wasiktk@hotmail.com Abstract: In (Al 2 O 3 -Cu/H 2 O) hybridized nanofluid (HYNF) is an unsteady electro-hydrodynamic stagnation point flow. A stretchable (shrinkable) surface that was convectively heated was studied in the past. In addition to the traditional nonslip surface, the heat generating (absorbing) and the velocity slippage constraints are deliberated in this research. An obtained nonlinear scheme is resolved by the homotopy analysis method. Governing parameters are the electric field parameters, that is, the dimensionless parameters including the magnetic parameter, Prandtl quantity, heat generating factor, Eckert quantity, and unsteady factor. We discuss in detail the effects of these variables on the movement of problems and thermal transmission characteristics. Increasing the values of the magneto and electric force parameters increased the temperature. Increasing the Prandtl number lowered the temperature. For the Eckert parameter, an increase in temperature was recognized. The symmetric form of the geometry model displayed improved the fluid flow by the same amount both above and below the stagnation streamline, while it decreased the flow pressure by the same level. The more heat source uses to increase the temperature of the HYNF over the entire area, the more heat is supplied to the plate, but with a heat sink, the opposite effect is observed. Keywords: hybridized nanofluid; unsteadiness stagnating point; velocity slippage; convective boundary constraint; magnetic nanofluid; electric field; homotopy analysis method (HAM) 1. Introduction Nanofluids have gained increasing attention due to their ability to recover heat transfer efficiency in an assortment of industrial presentations, as well as the considerable upsurge in the thermal conducting of the subsequent liquid. As a continuation of nanofluids, HYNFs can be made by diffusing compound nano-powders or numerous types of nanomolecules in the solution. HYNF is an innovative nanoliquid with two separate nanoparticles immersed in the base fluid. In recent years, many scholars have been involved in researching the heat transfer of HYNF because HYNFs exhibit a higher heat transfer coefficient than conventional nanoflu- ids. As a result, most heat transfer applications (e.g., machined coolants and HYNF) have been explored to increase the thermal transmission coefficient of traditional nanoliquids. Symmetry 2022, 14, 2136. https://doi.org/10.3390/sym14102136 https://www.mdpi.com/journal/symmetry