In the current investigation a mathematical model is simplified to explore the numerical treatment for the thermal and flow behavior in a magneto hydrodynamics Casson fluid through a micro channel by taking $Ti{O}_2-\mathit{CuO}/Eg$ nanoparticles. The combined effects of temperature jump, porous medium and velocity slip are incorporated. Using the dimensionless variables one can obtain the governing differential equations thereafter resolved numerically using RKF45 method. The velocity, temperature, skin friction and Nusselt number coefficient are addressed for different pertaining parameter. The upshots of the current investigation are visualized through graphically elucidation. Out comes shows that larger values of solid volume fraction decreases both velocity and temperature field. Furthermore drag coefficient is increases for increase in magnetic parameter, also hybrid nanofluid gives more impact than nanofluid.

在当前的调查中，数学模型被简化，以探索通过微通道的磁流体动力学卡森流体中的热和流动行为的数值处理，通过采取 $吨\mathrm{一世}{哦}_2-\mathit{氧化铜}/乙G$纳米粒子。结合了温度跳跃、多孔介质和速度滑移的综合影响。使用无量纲变量可以获得控制微分方程，然后使用 RKF45 方法进行数值求解。速度、温度、皮肤摩擦和努塞尔数系数针对不同的相关参数进行了处理。当前调查的结果通过图形说明进行可视化。结果表明，较大的固体体积分数值会降低速度和温度场。此外，阻力系数随着磁参数的增加而增加，混合纳米流体也比纳米流体产生更大的影响。