Basedonfluidequations,weshowatime-dependentself-consistentnonlinearmodelforvoidformationinmagnetizeddustyplasmas.Thecylindricalconfigurationisappliedtobetterillustratetheeffectsofthestaticmagneticfield,consideringtheazimuthalmotionofthedusts.Thenonlinearevolutionofthedustvoidandtherotationofthedustparticlesaretheninvestigatednumerically.Theresultsshowthat,similartotheunmagnetizedone-dimensionalmodel,theradialiondragplaysacrucialroleintheevolutionofthevoid.Moreover,thedustrotationisdrivenbytheazimuthaliondragforceexertingonthedust.Astheazimuthalcomponentofionvelocityincreaseslinearlywiththestrengthofthemagneticfield,theazimuthalcomponentofdustvelocityincreasessynchronously.Moreover,theangularvelocitygradientsofthedustrotationshowasheareddustflowaroundthevoid.
