Abstract
Abstract Convective flow is a self-sustained flow with the effect of the temperature gradient. The density is nonuniform due to the variation of temperature. The effect of the magnetic flux plays a major role in convective flow. The process of heat transfer is accompanied by mass transfer process; for instance condensation, evaporation and chemical process. Due to the applications of the heat and mass transfer combined effects in different field, the main aim of this paper is to do comprehensive analysis of heat and mass transfer of MHD unsteady Oldroyd-B fluid in the presence of ramped conditions. The new governing equations of MHD Oldroyd-B fluid have been fractionalized by means of singular and non-singular differentiable operators. In order to have an accurate physical significance of imposed conditions on the geometry of Oldroyd-B fluid, the ramped temperature, concentration and velocity are considered. The fractional solutions of temperature, concentration and velocity have been investigated by means of integral transform and inversion algorithm. The influence of physical parameters and flow is analyzed graphically via computational software (MATHCAD-15). The velocity profile decreases by increasing the Prandtl number. The existence of a Prandtl number may reflect the control of the thickness and enlargement of the thermal effect. The classical calculus is assumed as the instant rate of change of the output when the input level changes. Therefore it is not able to include the previous state of the system called the memory effect. Due to this reason, we applied the modern definition of fractional derivatives. Obtained generalized results are very important due to their vast applications in the field of engineering and applied sciences.
Highlights
Convective ow is a self-sustained ow with the e ect of the temperature gradient
Due to the applications of the heat and mass transfer combined e ects in di erent eld, the main aim of this paper is to do comprehensive analysis of heat and mass transfer of MHD unsteady Oldroyd-B uid in the presence of ramped conditions
This part is devoted for physical interpretation of heat and mass transfer is executed on the motion of Oldroyd-B uid near a porous surface
Summary
Abstract: Convective ow is a self-sustained ow with the e ect of the temperature gradient. Due to the applications of the heat and mass transfer combined e ects in di erent eld, the main aim of this paper is to do comprehensive analysis of heat and mass transfer of MHD unsteady Oldroyd-B uid in the presence of ramped conditions. In order to have an accurate physical signi cance of imposed conditions on the geometry of Oldroyd-B uid, the ramped temperature, concentration and velocity are considered. The fractional solutions of temperature, concentration and velocity have been investigated by means of integral transform and inversion algorithm. It is not able to include the previous state of the system called the memory e ect. Due to this reason, we applied the modern de nition of fractional derivatives. Obtained generalized results are very important due to their vast applications in the eld of engineering and applied sciences
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