The present analysis addresses the impact of reduced gravity and magnetohydrodynamics on oscillating mixed-convective electricallyconducting fluid flow over a thermal, non-conducting horizontal circular cylinder. In reduced gravity, buoyancy forces may induce fluid motion due to a weak gravitational field but in non-gravity forces, fluid motion can be induced by a variety of factors, including surface tension and density variations. The fluid motion is governed by connected nonlinear partial differential equations which are converted into convenient equations by applying a finite-difference scheme with the primitive transformation and a Gaussian elimination technique. The numerical solutions of the connected dimensionalized equations were obtained for various emerging dimensionless parameters, reduced gravity parameter Rg, Prandtl number Pr, and some other fixed parameters. First, the fluid velocity, temperature distribution and magnetic-field profiles were obtained and then these profiles were used to examine the oscillating quantities of skinfriction, oscillating heat transfer and oscillating rate of currentdensity. The FORTRAN software was used for the numerical results and these results were displayed on Tech Plot. The fluid velocity and magnetic profile were increased at the $\pi /2$ station as reduced gravity increased but the dimensionless temperature of the fluid attained a maximum magnitude as reduced gravity was decreased. The larger amplitude of the oscillating coefficients of ${\tau }_t$ and ${\tau }_m$ was concluded with a prominent variation for each $\lambda$ in the presence of reduced gravity. Physically, this could be because an increase in the decreased gravity parameter impacts the fluid flow’s driving potential along a thermal, non-conducting horizontalcylinder.

The analysis of the oscillatory mixed convection flow of electrically conducting fluid along a nonconducting horizontal circular cylinder in the presence of variable density is performed. The density of electrically conducting fluid is assumed to be an exponential function of temperature. The governing boundary layer equations are transformed by adopting primitive variable transformation, which is integrated numerically by employing the finite difference method. The influence of the various physical parameters, density/temperature parameter m, mixed-convection parameter λ, magnetic force parameter ξ, magnetic Prandtl number γ, and Prandtl number Pr, is interpreted graphically and numerically. The impact of these pertinent parameters on velocity, temperature, and magnetic field profiles at positions $\alpha =\pi /6,\pi /3$ , and π on the surface of a nonconducting cylinder is examined and then used to compute oscillatory skin friction, heat transfer, and current density. From these results, it is concluded that an increase in the density/temperature parameter m means an increase in the velocity of the fluid particles due to an increase in the buoyancy forces. Due to this reason, a good response in steadiness and amplitude of oscillation is noted at an angle $\pi /3$ for heat transfer and current density and velocity field at $\pi /6$ . Furthermore, it is noticed that the decrease in the density parameter m leads to a sharp increase in the velocity of fluid at the position $\alpha =\pi /6$ for a lower Prandtl number Pr = 0.1.